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Finding the Third Proportional to 291,641 and 417,048

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Solution

The third proportional to 291,641 and 417,048 is: 596,380.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,641 : 417,048 = 417,048 : x
  2. Step 2: Convert to fraction form
    291,641/417,048 = 417,048/x
  3. Step 3: Cross multiply
    291,641x = 417,048 × 417,048
  4. Step 4: Simplify right side
    291,641x = 173,929,034,304
  5. Step 5: Solve for x
    x = 173,929,034,304/291,641
  6. Step 6: Final answer
    x = 596,380.60

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.