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Finding the Third Proportional to 412,966.13 and 765,853.88

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Solution

The third proportional to 412,966.13 and 765,853.88 is: 1,420,291.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,966.13 : 765,853.88 = 765,853.88 : x
  2. Step 2: Convert to fraction form
    412,966.13/765,853.88 = 765,853.88/x
  3. Step 3: Cross multiply
    412,966.13x = 765,853.88 × 765,853.88
  4. Step 4: Simplify right side
    412,966.13x = 586,532,157,852.52
  5. Step 5: Solve for x
    x = 586,532,157,852.52/412,966.13
  6. Step 6: Final answer
    x = 1,420,291.21

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.