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Finding the Third Proportional to 352,730 and 532,275

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Solution

The third proportional to 352,730 and 532,275 is: 803,211.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,730 : 532,275 = 532,275 : x
  2. Step 2: Convert to fraction form
    352,730/532,275 = 532,275/x
  3. Step 3: Cross multiply
    352,730x = 532,275 × 532,275
  4. Step 4: Simplify right side
    352,730x = 283,316,675,625
  5. Step 5: Solve for x
    x = 283,316,675,625/352,730
  6. Step 6: Final answer
    x = 803,211.17

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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.