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Finding the Third Proportional to 267,657 and 403,753.50

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Solution

The third proportional to 267,657 and 403,753.50 is: 609,051.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,657 : 403,753.50 = 403,753.50 : x
  2. Step 2: Convert to fraction form
    267,657/403,753.50 = 403,753.50/x
  3. Step 3: Cross multiply
    267,657x = 403,753.50 × 403,753.50
  4. Step 4: Simplify right side
    267,657x = 163,016,888,762.25
  5. Step 5: Solve for x
    x = 163,016,888,762.25/267,657
  6. Step 6: Final answer
    x = 609,051.47

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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.