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Finding the Third Proportional to 338,347.13 and 601,447.78

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Solution

The third proportional to 338,347.13 and 601,447.78 is: 1,069,137.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,347.13 : 601,447.78 = 601,447.78 : x
  2. Step 2: Convert to fraction form
    338,347.13/601,447.78 = 601,447.78/x
  3. Step 3: Cross multiply
    338,347.13x = 601,447.78 × 601,447.78
  4. Step 4: Simplify right side
    338,347.13x = 361,739,433,570.55
  5. Step 5: Solve for x
    x = 361,739,433,570.55/338,347.13
  6. Step 6: Final answer
    x = 1,069,137.01

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.