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Finding the Third Proportional to 731,268 and 1,167,736.50

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Solution

The third proportional to 731,268 and 1,167,736.50 is: 1,864,717.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,268 : 1,167,736.50 = 1,167,736.50 : x
  2. Step 2: Convert to fraction form
    731,268/1,167,736.50 = 1,167,736.50/x
  3. Step 3: Cross multiply
    731,268x = 1,167,736.50 × 1,167,736.50
  4. Step 4: Simplify right side
    731,268x = 1,363,608,533,432.25
  5. Step 5: Solve for x
    x = 1,363,608,533,432.25/731,268
  6. Step 6: Final answer
    x = 1,864,717.91

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.