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Finding the Third Proportional to 232,708 and 502,548

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Solution

The third proportional to 232,708 and 502,548 is: 1,085,284.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,708 : 502,548 = 502,548 : x
  2. Step 2: Convert to fraction form
    232,708/502,548 = 502,548/x
  3. Step 3: Cross multiply
    232,708x = 502,548 × 502,548
  4. Step 4: Simplify right side
    232,708x = 252,554,492,304
  5. Step 5: Solve for x
    x = 252,554,492,304/232,708
  6. Step 6: Final answer
    x = 1,085,284.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.