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Finding the Third Proportional to 440,002 and 686,283

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Solution

The third proportional to 440,002 and 686,283 is: 1,070,414.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,002 : 686,283 = 686,283 : x
  2. Step 2: Convert to fraction form
    440,002/686,283 = 686,283/x
  3. Step 3: Cross multiply
    440,002x = 686,283 × 686,283
  4. Step 4: Simplify right side
    440,002x = 470,984,356,089
  5. Step 5: Solve for x
    x = 470,984,356,089/440,002
  6. Step 6: Final answer
    x = 1,070,414.13

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.