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Finding the Third Proportional to 387,209.11 and 838,760.06

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Solution

The third proportional to 387,209.11 and 838,760.06 is: 1,816,895.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,209.11 : 838,760.06 = 838,760.06 : x
  2. Step 2: Convert to fraction form
    387,209.11/838,760.06 = 838,760.06/x
  3. Step 3: Cross multiply
    387,209.11x = 838,760.06 × 838,760.06
  4. Step 4: Simplify right side
    387,209.11x = 703,518,442,445.00
  5. Step 5: Solve for x
    x = 703,518,442,445.00/387,209.11
  6. Step 6: Final answer
    x = 1,816,895.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.