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Finding the Third Proportional to 247,566.38 and 540,664.88

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Solution

The third proportional to 247,566.38 and 540,664.88 is: 1,180,768.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,566.38 : 540,664.88 = 540,664.88 : x
  2. Step 2: Convert to fraction form
    247,566.38/540,664.88 = 540,664.88/x
  3. Step 3: Cross multiply
    247,566.38x = 540,664.88 × 540,664.88
  4. Step 4: Simplify right side
    247,566.38x = 292,318,507,058.77
  5. Step 5: Solve for x
    x = 292,318,507,058.77/247,566.38
  6. Step 6: Final answer
    x = 1,180,768.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.