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Finding the Third Proportional to 758,200.50 and 1,655,335.88

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Solution

The third proportional to 758,200.50 and 1,655,335.88 is: 3,614,000.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,200.50 : 1,655,335.88 = 1,655,335.88 : x
  2. Step 2: Convert to fraction form
    758,200.50/1,655,335.88 = 1,655,335.88/x
  3. Step 3: Cross multiply
    758,200.50x = 1,655,335.88 × 1,655,335.88
  4. Step 4: Simplify right side
    758,200.50x = 2,740,136,859,062.02
  5. Step 5: Solve for x
    x = 2,740,136,859,062.02/758,200.50
  6. Step 6: Final answer
    x = 3,614,000.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.