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Finding the Third Proportional to 267,927.75 and 572,701.50

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Solution

The third proportional to 267,927.75 and 572,701.50 is: 1,224,162.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,927.75 : 572,701.50 = 572,701.50 : x
  2. Step 2: Convert to fraction form
    267,927.75/572,701.50 = 572,701.50/x
  3. Step 3: Cross multiply
    267,927.75x = 572,701.50 × 572,701.50
  4. Step 4: Simplify right side
    267,927.75x = 327,987,008,102.25
  5. Step 5: Solve for x
    x = 327,987,008,102.25/267,927.75
  6. Step 6: Final answer
    x = 1,224,162.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.