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Finding the Third Proportional to 427,327.31 and 651,844.13

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Solution

The third proportional to 427,327.31 and 651,844.13 is: 994,321.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,327.31 : 651,844.13 = 651,844.13 : x
  2. Step 2: Convert to fraction form
    427,327.31/651,844.13 = 651,844.13/x
  3. Step 3: Cross multiply
    427,327.31x = 651,844.13 × 651,844.13
  4. Step 4: Simplify right side
    427,327.31x = 424,900,763,297.02
  5. Step 5: Solve for x
    x = 424,900,763,297.02/427,327.31
  6. Step 6: Final answer
    x = 994,321.57

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.