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Finding the Third Proportional to 352,786 and 532,458

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Solution

The third proportional to 352,786 and 532,458 is: 803,635.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,786 : 532,458 = 532,458 : x
  2. Step 2: Convert to fraction form
    352,786/532,458 = 532,458/x
  3. Step 3: Cross multiply
    352,786x = 532,458 × 532,458
  4. Step 4: Simplify right side
    352,786x = 283,511,521,764
  5. Step 5: Solve for x
    x = 283,511,521,764/352,786
  6. Step 6: Final answer
    x = 803,635.98

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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.