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Finding the Third Proportional to 357,270.75 and 568,711.13

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Solution

The third proportional to 357,270.75 and 568,711.13 is: 905,286.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,270.75 : 568,711.13 = 568,711.13 : x
  2. Step 2: Convert to fraction form
    357,270.75/568,711.13 = 568,711.13/x
  3. Step 3: Cross multiply
    357,270.75x = 568,711.13 × 568,711.13
  4. Step 4: Simplify right side
    357,270.75x = 323,432,343,698.77
  5. Step 5: Solve for x
    x = 323,432,343,698.77/357,270.75
  6. Step 6: Final answer
    x = 905,286.38

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.