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Finding the Third Proportional to 408,498.19 and 865,576.13

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Solution

The third proportional to 408,498.19 and 865,576.13 is: 1,834,088.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,498.19 : 865,576.13 = 865,576.13 : x
  2. Step 2: Convert to fraction form
    408,498.19/865,576.13 = 865,576.13/x
  3. Step 3: Cross multiply
    408,498.19x = 865,576.13 × 865,576.13
  4. Step 4: Simplify right side
    408,498.19x = 749,222,028,170.02
  5. Step 5: Solve for x
    x = 749,222,028,170.02/408,498.19
  6. Step 6: Final answer
    x = 1,834,088.99

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.