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Finding the Third Proportional to 185,587.45 and 406,645.31

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Solution

The third proportional to 185,587.45 and 406,645.31 is: 891,010.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,587.45 : 406,645.31 = 406,645.31 : x
  2. Step 2: Convert to fraction form
    185,587.45/406,645.31 = 406,645.31/x
  3. Step 3: Cross multiply
    185,587.45x = 406,645.31 × 406,645.31
  4. Step 4: Simplify right side
    185,587.45x = 165,360,410,178.22
  5. Step 5: Solve for x
    x = 165,360,410,178.22/185,587.45
  6. Step 6: Final answer
    x = 891,010.72

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