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Finding the Third Proportional to 291,417.78 and 627,122.31

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Solution

The third proportional to 291,417.78 and 627,122.31 is: 1,349,548.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,417.78 : 627,122.31 = 627,122.31 : x
  2. Step 2: Convert to fraction form
    291,417.78/627,122.31 = 627,122.31/x
  3. Step 3: Cross multiply
    291,417.78x = 627,122.31 × 627,122.31
  4. Step 4: Simplify right side
    291,417.78x = 393,282,390,854.63
  5. Step 5: Solve for x
    x = 393,282,390,854.63/291,417.78
  6. Step 6: Final answer
    x = 1,349,548.37

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.