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Finding the Third Proportional to 292,411 and 440,776.50

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Solution

The third proportional to 292,411 and 440,776.50 is: 664,420.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,411 : 440,776.50 = 440,776.50 : x
  2. Step 2: Convert to fraction form
    292,411/440,776.50 = 440,776.50/x
  3. Step 3: Cross multiply
    292,411x = 440,776.50 × 440,776.50
  4. Step 4: Simplify right side
    292,411x = 194,283,922,952.25
  5. Step 5: Solve for x
    x = 194,283,922,952.25/292,411
  6. Step 6: Final answer
    x = 664,420.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.