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Finding the Third Proportional to 301,248,839.25 and 465,505,840.50

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Solution

The third proportional to 301,248,839.25 and 465,505,840.50 is: 719,324,556.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,248,839.25 : 465,505,840.50 = 465,505,840.50 : x
  2. Step 2: Convert to fraction form
    301,248,839.25/465,505,840.50 = 465,505,840.50/x
  3. Step 3: Cross multiply
    301,248,839.25x = 465,505,840.50 × 465,505,840.50
  4. Step 4: Simplify right side
    301,248,839.25x = 216,695,687,539,611,456
  5. Step 5: Solve for x
    x = 216,695,687,539,611,456/301,248,839.25
  6. Step 6: Final answer
    x = 719,324,556.00

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.