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Finding the Third Proportional to 530,909.44 and 1,150,392.38

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Solution

The third proportional to 530,909.44 and 1,150,392.38 is: 2,492,708.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,909.44 : 1,150,392.38 = 1,150,392.38 : x
  2. Step 2: Convert to fraction form
    530,909.44/1,150,392.38 = 1,150,392.38/x
  3. Step 3: Cross multiply
    530,909.44x = 1,150,392.38 × 1,150,392.38
  4. Step 4: Simplify right side
    530,909.44x = 1,323,402,616,458.14
  5. Step 5: Solve for x
    x = 1,323,402,616,458.14/530,909.44
  6. Step 6: Final answer
    x = 2,492,708.78

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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.