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Finding the Third Proportional to 566,421.75 and 1,231,458.75

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Solution

The third proportional to 566,421.75 and 1,231,458.75 is: 2,677,317.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,421.75 : 1,231,458.75 = 1,231,458.75 : x
  2. Step 2: Convert to fraction form
    566,421.75/1,231,458.75 = 1,231,458.75/x
  3. Step 3: Cross multiply
    566,421.75x = 1,231,458.75 × 1,231,458.75
  4. Step 4: Simplify right side
    566,421.75x = 1,516,490,652,951.56
  5. Step 5: Solve for x
    x = 1,516,490,652,951.56/566,421.75
  6. Step 6: Final answer
    x = 2,677,317.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.