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Finding the Third Proportional to 352,394 and 502,347

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Solution

The third proportional to 352,394 and 502,347 is: 716,108.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,394 : 502,347 = 502,347 : x
  2. Step 2: Convert to fraction form
    352,394/502,347 = 502,347/x
  3. Step 3: Cross multiply
    352,394x = 502,347 × 502,347
  4. Step 4: Simplify right side
    352,394x = 252,352,508,409
  5. Step 5: Solve for x
    x = 252,352,508,409/352,394
  6. Step 6: Final answer
    x = 716,108.98

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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.