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Finding the Third Proportional to 232,573 and 502,321

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Solution

The third proportional to 232,573 and 502,321 is: 1,084,934.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,573 : 502,321 = 502,321 : x
  2. Step 2: Convert to fraction form
    232,573/502,321 = 502,321/x
  3. Step 3: Cross multiply
    232,573x = 502,321 × 502,321
  4. Step 4: Simplify right side
    232,573x = 252,326,387,041
  5. Step 5: Solve for x
    x = 252,326,387,041/232,573
  6. Step 6: Final answer
    x = 1,084,934.14

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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.