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Finding the Third Proportional to 267,675 and 403,780.50

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Solution

The third proportional to 267,675 and 403,780.50 is: 609,091.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,675 : 403,780.50 = 403,780.50 : x
  2. Step 2: Convert to fraction form
    267,675/403,780.50 = 403,780.50/x
  3. Step 3: Cross multiply
    267,675x = 403,780.50 × 403,780.50
  4. Step 4: Simplify right side
    267,675x = 163,038,692,180.25
  5. Step 5: Solve for x
    x = 163,038,692,180.25/267,675
  6. Step 6: Final answer
    x = 609,091.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.