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Finding the Third Proportional to 602,284 and 802,949

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Solution

The third proportional to 602,284 and 802,949 is: 1,070,470.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,284 : 802,949 = 802,949 : x
  2. Step 2: Convert to fraction form
    602,284/802,949 = 802,949/x
  3. Step 3: Cross multiply
    602,284x = 802,949 × 802,949
  4. Step 4: Simplify right side
    602,284x = 644,727,096,601
  5. Step 5: Solve for x
    x = 644,727,096,601/602,284
  6. Step 6: Final answer
    x = 1,070,470.24

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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.