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Finding the Third Proportional to 467,718.19 and 516,925.69

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Solution

The third proportional to 467,718.19 and 516,925.69 is: 571,310.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,718.19 : 516,925.69 = 516,925.69 : x
  2. Step 2: Convert to fraction form
    467,718.19/516,925.69 = 516,925.69/x
  3. Step 3: Cross multiply
    467,718.19x = 516,925.69 × 516,925.69
  4. Step 4: Simplify right side
    467,718.19x = 267,212,166,397.35
  5. Step 5: Solve for x
    x = 267,212,166,397.35/467,718.19
  6. Step 6: Final answer
    x = 571,310.19

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.