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Finding the Third Proportional to 267,747 and 401,632.50

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Solution

The third proportional to 267,747 and 401,632.50 is: 602,466.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,747 : 401,632.50 = 401,632.50 : x
  2. Step 2: Convert to fraction form
    267,747/401,632.50 = 401,632.50/x
  3. Step 3: Cross multiply
    267,747x = 401,632.50 × 401,632.50
  4. Step 4: Simplify right side
    267,747x = 161,308,665,056.25
  5. Step 5: Solve for x
    x = 161,308,665,056.25/267,747
  6. Step 6: Final answer
    x = 602,466.75

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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.