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Finding the Third Proportional to 407,151.75 and 598,564.13

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Solution

The third proportional to 407,151.75 and 598,564.13 is: 879,964.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,151.75 : 598,564.13 = 598,564.13 : x
  2. Step 2: Convert to fraction form
    407,151.75/598,564.13 = 598,564.13/x
  3. Step 3: Cross multiply
    407,151.75x = 598,564.13 × 598,564.13
  4. Step 4: Simplify right side
    407,151.75x = 358,279,011,737.02
  5. Step 5: Solve for x
    x = 358,279,011,737.02/407,151.75
  6. Step 6: Final answer
    x = 879,964.32

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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.