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Finding the Third Proportional to 533,089.13 and 1,165,819.50

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Solution

The third proportional to 533,089.13 and 1,165,819.50 is: 2,549,545.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,089.13 : 1,165,819.50 = 1,165,819.50 : x
  2. Step 2: Convert to fraction form
    533,089.13/1,165,819.50 = 1,165,819.50/x
  3. Step 3: Cross multiply
    533,089.13x = 1,165,819.50 × 1,165,819.50
  4. Step 4: Simplify right side
    533,089.13x = 1,359,135,106,580.25
  5. Step 5: Solve for x
    x = 1,359,135,106,580.25/533,089.13
  6. Step 6: Final answer
    x = 2,549,545.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.