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Finding the Third Proportional to 352,516 and 745,217

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Solution

The third proportional to 352,516 and 745,217 is: 1,575,384.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,516 : 745,217 = 745,217 : x
  2. Step 2: Convert to fraction form
    352,516/745,217 = 745,217/x
  3. Step 3: Cross multiply
    352,516x = 745,217 × 745,217
  4. Step 4: Simplify right side
    352,516x = 555,348,377,089
  5. Step 5: Solve for x
    x = 555,348,377,089/352,516
  6. Step 6: Final answer
    x = 1,575,384.88

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.