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Finding the Third Proportional to 691,507.13 and 932,203.69

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Solution

The third proportional to 691,507.13 and 932,203.69 is: 1,256,680.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,507.13 : 932,203.69 = 932,203.69 : x
  2. Step 2: Convert to fraction form
    691,507.13/932,203.69 = 932,203.69/x
  3. Step 3: Cross multiply
    691,507.13x = 932,203.69 × 932,203.69
  4. Step 4: Simplify right side
    691,507.13x = 869,003,714,988.60
  5. Step 5: Solve for x
    x = 869,003,714,988.60/691,507.13
  6. Step 6: Final answer
    x = 1,256,680.78

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.