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Finding the Third Proportional to 534,543.50 and 1,077,835

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Solution

The third proportional to 534,543.50 and 1,077,835 is: 2,173,309.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,543.50 : 1,077,835 = 1,077,835 : x
  2. Step 2: Convert to fraction form
    534,543.50/1,077,835 = 1,077,835/x
  3. Step 3: Cross multiply
    534,543.50x = 1,077,835 × 1,077,835
  4. Step 4: Simplify right side
    534,543.50x = 1,161,728,287,225
  5. Step 5: Solve for x
    x = 1,161,728,287,225/534,543.50
  6. Step 6: Final answer
    x = 2,173,309.16

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.