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Finding the Third Proportional to 352,400 and 536,862

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Solution

The third proportional to 352,400 and 536,862 is: 817,879.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,400 : 536,862 = 536,862 : x
  2. Step 2: Convert to fraction form
    352,400/536,862 = 536,862/x
  3. Step 3: Cross multiply
    352,400x = 536,862 × 536,862
  4. Step 4: Simplify right side
    352,400x = 288,220,807,044
  5. Step 5: Solve for x
    x = 288,220,807,044/352,400
  6. Step 6: Final answer
    x = 817,879.70

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.