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Finding the Third Proportional to 352,166 and 733,514

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Solution

The third proportional to 352,166 and 733,514 is: 1,527,810.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,166 : 733,514 = 733,514 : x
  2. Step 2: Convert to fraction form
    352,166/733,514 = 733,514/x
  3. Step 3: Cross multiply
    352,166x = 733,514 × 733,514
  4. Step 4: Simplify right side
    352,166x = 538,042,788,196
  5. Step 5: Solve for x
    x = 538,042,788,196/352,166
  6. Step 6: Final answer
    x = 1,527,810.15

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.