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Finding the Third Proportional to 316,720.13 and 466,681.50

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Solution

The third proportional to 316,720.13 and 466,681.50 is: 687,646.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,720.13 : 466,681.50 = 466,681.50 : x
  2. Step 2: Convert to fraction form
    316,720.13/466,681.50 = 466,681.50/x
  3. Step 3: Cross multiply
    316,720.13x = 466,681.50 × 466,681.50
  4. Step 4: Simplify right side
    316,720.13x = 217,791,622,442.25
  5. Step 5: Solve for x
    x = 217,791,622,442.25/316,720.13
  6. Step 6: Final answer
    x = 687,646.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.