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Finding the Third Proportional to 407,015.25 and 598,327.88

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Solution

The third proportional to 407,015.25 and 598,327.88 is: 879,564.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,015.25 : 598,327.88 = 598,327.88 : x
  2. Step 2: Convert to fraction form
    407,015.25/598,327.88 = 598,327.88/x
  3. Step 3: Cross multiply
    407,015.25x = 598,327.88 × 598,327.88
  4. Step 4: Simplify right side
    407,015.25x = 357,996,246,002.02
  5. Step 5: Solve for x
    x = 357,996,246,002.02/407,015.25
  6. Step 6: Final answer
    x = 879,564.70

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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.