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Finding the Third Proportional to 432,448.88 and 928,837.13

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Solution

The third proportional to 432,448.88 and 928,837.13 is: 1,995,006.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,448.88 : 928,837.13 = 928,837.13 : x
  2. Step 2: Convert to fraction form
    432,448.88/928,837.13 = 928,837.13/x
  3. Step 3: Cross multiply
    432,448.88x = 928,837.13 × 928,837.13
  4. Step 4: Simplify right side
    432,448.88x = 862,738,404,778.27
  5. Step 5: Solve for x
    x = 862,738,404,778.27/432,448.88
  6. Step 6: Final answer
    x = 1,995,006.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.