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Finding the Third Proportional to 502,371 and 702,697

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Solution

The third proportional to 502,371 and 702,697 is: 982,905.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,371 : 702,697 = 702,697 : x
  2. Step 2: Convert to fraction form
    502,371/702,697 = 702,697/x
  3. Step 3: Cross multiply
    502,371x = 702,697 × 702,697
  4. Step 4: Simplify right side
    502,371x = 493,783,073,809
  5. Step 5: Solve for x
    x = 493,783,073,809/502,371
  6. Step 6: Final answer
    x = 982,905.21

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.