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Finding the Third Proportional to 325,452.94 and 705,034.13

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Solution

The third proportional to 325,452.94 and 705,034.13 is: 1,527,327.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,452.94 : 705,034.13 = 705,034.13 : x
  2. Step 2: Convert to fraction form
    325,452.94/705,034.13 = 705,034.13/x
  3. Step 3: Cross multiply
    325,452.94x = 705,034.13 × 705,034.13
  4. Step 4: Simplify right side
    325,452.94x = 497,073,117,414.52
  5. Step 5: Solve for x
    x = 497,073,117,414.52/325,452.94
  6. Step 6: Final answer
    x = 1,527,327.18

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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.