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Finding the Third Proportional to 317,713 and 657,458

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Solution

The third proportional to 317,713 and 657,458 is: 1,360,507.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,713 : 657,458 = 657,458 : x
  2. Step 2: Convert to fraction form
    317,713/657,458 = 657,458/x
  3. Step 3: Cross multiply
    317,713x = 657,458 × 657,458
  4. Step 4: Simplify right side
    317,713x = 432,251,021,764
  5. Step 5: Solve for x
    x = 432,251,021,764/317,713
  6. Step 6: Final answer
    x = 1,360,507.82

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.