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Finding the Third Proportional to 532,055.25 and 1,167,584.63

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Solution

The third proportional to 532,055.25 and 1,167,584.63 is: 2,562,241.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,055.25 : 1,167,584.63 = 1,167,584.63 : x
  2. Step 2: Convert to fraction form
    532,055.25/1,167,584.63 = 1,167,584.63/x
  3. Step 3: Cross multiply
    532,055.25x = 1,167,584.63 × 1,167,584.63
  4. Step 4: Simplify right side
    532,055.25x = 1,363,253,856,536.39
  5. Step 5: Solve for x
    x = 1,363,253,856,536.39/532,055.25
  6. Step 6: Final answer
    x = 2,562,241.15

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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.