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Finding the Third Proportional to 352,464 and 502,452

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Solution

The third proportional to 352,464 and 502,452 is: 716,266.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,464 : 502,452 = 502,452 : x
  2. Step 2: Convert to fraction form
    352,464/502,452 = 502,452/x
  3. Step 3: Cross multiply
    352,464x = 502,452 × 502,452
  4. Step 4: Simplify right side
    352,464x = 252,458,012,304
  5. Step 5: Solve for x
    x = 252,458,012,304/352,464
  6. Step 6: Final answer
    x = 716,266.09

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.