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Finding the Third Proportional to 728,196.75 and 1,130,635.50

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Solution

The third proportional to 728,196.75 and 1,130,635.50 is: 1,755,482.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,196.75 : 1,130,635.50 = 1,130,635.50 : x
  2. Step 2: Convert to fraction form
    728,196.75/1,130,635.50 = 1,130,635.50/x
  3. Step 3: Cross multiply
    728,196.75x = 1,130,635.50 × 1,130,635.50
  4. Step 4: Simplify right side
    728,196.75x = 1,278,336,633,860.25
  5. Step 5: Solve for x
    x = 1,278,336,633,860.25/728,196.75
  6. Step 6: Final answer
    x = 1,755,482.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.