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Finding the Third Proportional to 542,506.50 and 1,181,445.75

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Solution

The third proportional to 542,506.50 and 1,181,445.75 is: 2,572,898.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,506.50 : 1,181,445.75 = 1,181,445.75 : x
  2. Step 2: Convert to fraction form
    542,506.50/1,181,445.75 = 1,181,445.75/x
  3. Step 3: Cross multiply
    542,506.50x = 1,181,445.75 × 1,181,445.75
  4. Step 4: Simplify right side
    542,506.50x = 1,395,814,060,193.06
  5. Step 5: Solve for x
    x = 1,395,814,060,193.06/542,506.50
  6. Step 6: Final answer
    x = 2,572,898.32

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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.