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Finding the Third Proportional to 352,552 and 537,090

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Solution

The third proportional to 352,552 and 537,090 is: 818,221.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,552 : 537,090 = 537,090 : x
  2. Step 2: Convert to fraction form
    352,552/537,090 = 537,090/x
  3. Step 3: Cross multiply
    352,552x = 537,090 × 537,090
  4. Step 4: Simplify right side
    352,552x = 288,465,668,100
  5. Step 5: Solve for x
    x = 288,465,668,100/352,552
  6. Step 6: Final answer
    x = 818,221.62

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.