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Finding the Third Proportional to 803,266.50 and 1,182,685.50

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Solution

The third proportional to 803,266.50 and 1,182,685.50 is: 1,741,321.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,266.50 : 1,182,685.50 = 1,182,685.50 : x
  2. Step 2: Convert to fraction form
    803,266.50/1,182,685.50 = 1,182,685.50/x
  3. Step 3: Cross multiply
    803,266.50x = 1,182,685.50 × 1,182,685.50
  4. Step 4: Simplify right side
    803,266.50x = 1,398,744,991,910.25
  5. Step 5: Solve for x
    x = 1,398,744,991,910.25/803,266.50
  6. Step 6: Final answer
    x = 1,741,321.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.