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Finding the Third Proportional to 566,340.75 and 856,765.13

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Solution

The third proportional to 566,340.75 and 856,765.13 is: 1,296,121.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,340.75 : 856,765.13 = 856,765.13 : x
  2. Step 2: Convert to fraction form
    566,340.75/856,765.13 = 856,765.13/x
  3. Step 3: Cross multiply
    566,340.75x = 856,765.13 × 856,765.13
  4. Step 4: Simplify right side
    566,340.75x = 734,046,479,416.27
  5. Step 5: Solve for x
    x = 734,046,479,416.27/566,340.75
  6. Step 6: Final answer
    x = 1,296,121.60

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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.