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Finding the Third Proportional to 502,373 and 702,700

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Solution

The third proportional to 502,373 and 702,700 is: 982,909.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,373 : 702,700 = 702,700 : x
  2. Step 2: Convert to fraction form
    502,373/702,700 = 702,700/x
  3. Step 3: Cross multiply
    502,373x = 702,700 × 702,700
  4. Step 4: Simplify right side
    502,373x = 493,787,290,000
  5. Step 5: Solve for x
    x = 493,787,290,000/502,373
  6. Step 6: Final answer
    x = 982,909.69

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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.