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Finding the Third Proportional to 267,670 and 403,773

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Solution

The third proportional to 267,670 and 403,773 is: 609,080.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,670 : 403,773 = 403,773 : x
  2. Step 2: Convert to fraction form
    267,670/403,773 = 403,773/x
  3. Step 3: Cross multiply
    267,670x = 403,773 × 403,773
  4. Step 4: Simplify right side
    267,670x = 163,032,635,529
  5. Step 5: Solve for x
    x = 163,032,635,529/267,670
  6. Step 6: Final answer
    x = 609,080.72

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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.