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Finding the Third Proportional to 352,846.13 and 532,549.69

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Solution

The third proportional to 352,846.13 and 532,549.69 is: 803,775.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,846.13 : 532,549.69 = 532,549.69 : x
  2. Step 2: Convert to fraction form
    352,846.13/532,549.69 = 532,549.69/x
  3. Step 3: Cross multiply
    352,846.13x = 532,549.69 × 532,549.69
  4. Step 4: Simplify right side
    352,846.13x = 283,609,169,656.35
  5. Step 5: Solve for x
    x = 283,609,169,656.35/352,846.13
  6. Step 6: Final answer
    x = 803,775.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.