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Finding the Third Proportional to 534,745.50 and 1,161,708

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Solution

The third proportional to 534,745.50 and 1,161,708 is: 2,523,752.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,745.50 : 1,161,708 = 1,161,708 : x
  2. Step 2: Convert to fraction form
    534,745.50/1,161,708 = 1,161,708/x
  3. Step 3: Cross multiply
    534,745.50x = 1,161,708 × 1,161,708
  4. Step 4: Simplify right side
    534,745.50x = 1,349,565,477,264
  5. Step 5: Solve for x
    x = 1,349,565,477,264/534,745.50
  6. Step 6: Final answer
    x = 2,523,752.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.