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Finding the Third Proportional to 385,261.31 and 613,567.41

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Solution

The third proportional to 385,261.31 and 613,567.41 is: 977,167.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,261.31 : 613,567.41 = 613,567.41 : x
  2. Step 2: Convert to fraction form
    385,261.31/613,567.41 = 613,567.41/x
  3. Step 3: Cross multiply
    385,261.31x = 613,567.41 × 613,567.41
  4. Step 4: Simplify right side
    385,261.31x = 376,464,962,012.35
  5. Step 5: Solve for x
    x = 376,464,962,012.35/385,261.31
  6. Step 6: Final answer
    x = 977,167.83

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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.