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Finding the Third Proportional to 602,294 and 802,960

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Solution

The third proportional to 602,294 and 802,960 is: 1,070,481.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,294 : 802,960 = 802,960 : x
  2. Step 2: Convert to fraction form
    602,294/802,960 = 802,960/x
  3. Step 3: Cross multiply
    602,294x = 802,960 × 802,960
  4. Step 4: Simplify right side
    602,294x = 644,744,761,600
  5. Step 5: Solve for x
    x = 644,744,761,600/602,294
  6. Step 6: Final answer
    x = 1,070,481.79

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.