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Finding the Third Proportional to 267,012.56 and 400,572

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Solution

The third proportional to 267,012.56 and 400,572 is: 600,937.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,012.56 : 400,572 = 400,572 : x
  2. Step 2: Convert to fraction form
    267,012.56/400,572 = 400,572/x
  3. Step 3: Cross multiply
    267,012.56x = 400,572 × 400,572
  4. Step 4: Simplify right side
    267,012.56x = 160,457,927,184
  5. Step 5: Solve for x
    x = 160,457,927,184/267,012.56
  6. Step 6: Final answer
    x = 600,937.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.