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Finding the Third Proportional to 354,982.50 and 767,191.50

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Solution

The third proportional to 354,982.50 and 767,191.50 is: 1,658,061.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,982.50 : 767,191.50 = 767,191.50 : x
  2. Step 2: Convert to fraction form
    354,982.50/767,191.50 = 767,191.50/x
  3. Step 3: Cross multiply
    354,982.50x = 767,191.50 × 767,191.50
  4. Step 4: Simplify right side
    354,982.50x = 588,582,797,672.25
  5. Step 5: Solve for x
    x = 588,582,797,672.25/354,982.50
  6. Step 6: Final answer
    x = 1,658,061.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.