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Finding the Third Proportional to 352,767 and 532,431

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Solution

The third proportional to 352,767 and 532,431 is: 803,597.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,767 : 532,431 = 532,431 : x
  2. Step 2: Convert to fraction form
    352,767/532,431 = 532,431/x
  3. Step 3: Cross multiply
    352,767x = 532,431 × 532,431
  4. Step 4: Simplify right side
    352,767x = 283,482,769,761
  5. Step 5: Solve for x
    x = 283,482,769,761/352,767
  6. Step 6: Final answer
    x = 803,597.76

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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.