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Finding the Third Proportional to 291,681 and 449,966.25

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Solution

The third proportional to 291,681 and 449,966.25 is: 694,147.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,681 : 449,966.25 = 449,966.25 : x
  2. Step 2: Convert to fraction form
    291,681/449,966.25 = 449,966.25/x
  3. Step 3: Cross multiply
    291,681x = 449,966.25 × 449,966.25
  4. Step 4: Simplify right side
    291,681x = 202,469,626,139.06
  5. Step 5: Solve for x
    x = 202,469,626,139.06/291,681
  6. Step 6: Final answer
    x = 694,147.46

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.