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Finding the Third Proportional to 747,906.50 and 1,160,271.75

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Solution

The third proportional to 747,906.50 and 1,160,271.75 is: 1,799,998.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,906.50 : 1,160,271.75 = 1,160,271.75 : x
  2. Step 2: Convert to fraction form
    747,906.50/1,160,271.75 = 1,160,271.75/x
  3. Step 3: Cross multiply
    747,906.50x = 1,160,271.75 × 1,160,271.75
  4. Step 4: Simplify right side
    747,906.50x = 1,346,230,533,848.06
  5. Step 5: Solve for x
    x = 1,346,230,533,848.06/747,906.50
  6. Step 6: Final answer
    x = 1,799,998.44

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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.