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Finding the Third Proportional to 359,060 and 557,548

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Solution

The third proportional to 359,060 and 557,548 is: 865,759.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,060 : 557,548 = 557,548 : x
  2. Step 2: Convert to fraction form
    359,060/557,548 = 557,548/x
  3. Step 3: Cross multiply
    359,060x = 557,548 × 557,548
  4. Step 4: Simplify right side
    359,060x = 310,859,772,304
  5. Step 5: Solve for x
    x = 310,859,772,304/359,060
  6. Step 6: Final answer
    x = 865,759.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.