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Finding the Third Proportional to 306,005 and 657,167

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Solution

The third proportional to 306,005 and 657,167 is: 1,411,311.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,005 : 657,167 = 657,167 : x
  2. Step 2: Convert to fraction form
    306,005/657,167 = 657,167/x
  3. Step 3: Cross multiply
    306,005x = 657,167 × 657,167
  4. Step 4: Simplify right side
    306,005x = 431,868,465,889
  5. Step 5: Solve for x
    x = 431,868,465,889/306,005
  6. Step 6: Final answer
    x = 1,411,311.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.