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Finding the Third Proportional to 317,670 and 681,402

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Solution

The third proportional to 317,670 and 681,402 is: 1,461,606.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,670 : 681,402 = 681,402 : x
  2. Step 2: Convert to fraction form
    317,670/681,402 = 681,402/x
  3. Step 3: Cross multiply
    317,670x = 681,402 × 681,402
  4. Step 4: Simplify right side
    317,670x = 464,308,685,604
  5. Step 5: Solve for x
    x = 464,308,685,604/317,670
  6. Step 6: Final answer
    x = 1,461,606.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.