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Finding the Third Proportional to 571,098.53 and 856,771.13

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Solution

The third proportional to 571,098.53 and 856,771.13 is: 1,285,341.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,098.53 : 856,771.13 = 856,771.13 : x
  2. Step 2: Convert to fraction form
    571,098.53/856,771.13 = 856,771.13/x
  3. Step 3: Cross multiply
    571,098.53x = 856,771.13 × 856,771.13
  4. Step 4: Simplify right side
    571,098.53x = 734,056,773,184.09
  5. Step 5: Solve for x
    x = 734,056,773,184.09/571,098.53
  6. Step 6: Final answer
    x = 1,285,341.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.