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Finding the Third Proportional to 352,731 and 532,277

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Solution

The third proportional to 352,731 and 532,277 is: 803,214.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,731 : 532,277 = 532,277 : x
  2. Step 2: Convert to fraction form
    352,731/532,277 = 532,277/x
  3. Step 3: Cross multiply
    352,731x = 532,277 × 532,277
  4. Step 4: Simplify right side
    352,731x = 283,318,804,729
  5. Step 5: Solve for x
    x = 283,318,804,729/352,731
  6. Step 6: Final answer
    x = 803,214.93

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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.