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Finding the Third Proportional to 232,577 and 502,329

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Solution

The third proportional to 232,577 and 502,329 is: 1,084,950.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,577 : 502,329 = 502,329 : x
  2. Step 2: Convert to fraction form
    232,577/502,329 = 502,329/x
  3. Step 3: Cross multiply
    232,577x = 502,329 × 502,329
  4. Step 4: Simplify right side
    232,577x = 252,334,424,241
  5. Step 5: Solve for x
    x = 252,334,424,241/232,577
  6. Step 6: Final answer
    x = 1,084,950.03

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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.