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Finding the Third Proportional to 582,189.75 and 883,132.88

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Solution

The third proportional to 582,189.75 and 883,132.88 is: 1,339,638.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,189.75 : 883,132.88 = 883,132.88 : x
  2. Step 2: Convert to fraction form
    582,189.75/883,132.88 = 883,132.88/x
  3. Step 3: Cross multiply
    582,189.75x = 883,132.88 × 883,132.88
  4. Step 4: Simplify right side
    582,189.75x = 779,923,674,905.77
  5. Step 5: Solve for x
    x = 779,923,674,905.77/582,189.75
  6. Step 6: Final answer
    x = 1,339,638.28

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.