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Finding the Third Proportional to 352,398 and 536,859

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Solution

The third proportional to 352,398 and 536,859 is: 817,875.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,398 : 536,859 = 536,859 : x
  2. Step 2: Convert to fraction form
    352,398/536,859 = 536,859/x
  3. Step 3: Cross multiply
    352,398x = 536,859 × 536,859
  4. Step 4: Simplify right side
    352,398x = 288,217,585,881
  5. Step 5: Solve for x
    x = 288,217,585,881/352,398
  6. Step 6: Final answer
    x = 817,875.20

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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.