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Finding the Third Proportional to 408,498.75 and 599,014.13

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Solution

The third proportional to 408,498.75 and 599,014.13 is: 878,381.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,498.75 : 599,014.13 = 599,014.13 : x
  2. Step 2: Convert to fraction form
    408,498.75/599,014.13 = 599,014.13/x
  3. Step 3: Cross multiply
    408,498.75x = 599,014.13 × 599,014.13
  4. Step 4: Simplify right side
    408,498.75x = 358,817,921,949.52
  5. Step 5: Solve for x
    x = 358,817,921,949.52/408,498.75
  6. Step 6: Final answer
    x = 878,381.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.