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Finding the Third Proportional to 317,642 and 698,262

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Solution

The third proportional to 317,642 and 698,262 is: 1,534,966.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,642 : 698,262 = 698,262 : x
  2. Step 2: Convert to fraction form
    317,642/698,262 = 698,262/x
  3. Step 3: Cross multiply
    317,642x = 698,262 × 698,262
  4. Step 4: Simplify right side
    317,642x = 487,569,820,644
  5. Step 5: Solve for x
    x = 487,569,820,644/317,642
  6. Step 6: Final answer
    x = 1,534,966.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.