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Finding the Third Proportional to 267,424.13 and 630,655.13

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Solution

The third proportional to 267,424.13 and 630,655.13 is: 1,487,247.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,424.13 : 630,655.13 = 630,655.13 : x
  2. Step 2: Convert to fraction form
    267,424.13/630,655.13 = 630,655.13/x
  3. Step 3: Cross multiply
    267,424.13x = 630,655.13 × 630,655.13
  4. Step 4: Simplify right side
    267,424.13x = 397,725,886,688.77
  5. Step 5: Solve for x
    x = 397,725,886,688.77/267,424.13
  6. Step 6: Final answer
    x = 1,487,247.59

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.