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Finding the Third Proportional to 373,794.75 and 564,580.13

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Solution

The third proportional to 373,794.75 and 564,580.13 is: 852,742.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,794.75 : 564,580.13 = 564,580.13 : x
  2. Step 2: Convert to fraction form
    373,794.75/564,580.13 = 564,580.13/x
  3. Step 3: Cross multiply
    373,794.75x = 564,580.13 × 564,580.13
  4. Step 4: Simplify right side
    373,794.75x = 318,750,717,545.02
  5. Step 5: Solve for x
    x = 318,750,717,545.02/373,794.75
  6. Step 6: Final answer
    x = 852,742.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.