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Finding the Third Proportional to 442,010.75 and 679,796.13

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Solution

The third proportional to 442,010.75 and 679,796.13 is: 1,045,501.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,010.75 : 679,796.13 = 679,796.13 : x
  2. Step 2: Convert to fraction form
    442,010.75/679,796.13 = 679,796.13/x
  3. Step 3: Cross multiply
    442,010.75x = 679,796.13 × 679,796.13
  4. Step 4: Simplify right side
    442,010.75x = 462,122,771,565.02
  5. Step 5: Solve for x
    x = 462,122,771,565.02/442,010.75
  6. Step 6: Final answer
    x = 1,045,501.20

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Why These Related Problems?

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