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Finding the Third Proportional to 272,433.38 and 425,207.06

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Solution

The third proportional to 272,433.38 and 425,207.06 is: 663,652.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,433.38 : 425,207.06 = 425,207.06 : x
  2. Step 2: Convert to fraction form
    272,433.38/425,207.06 = 425,207.06/x
  3. Step 3: Cross multiply
    272,433.38x = 425,207.06 × 425,207.06
  4. Step 4: Simplify right side
    272,433.38x = 180,801,045,999.88
  5. Step 5: Solve for x
    x = 180,801,045,999.88/272,433.38
  6. Step 6: Final answer
    x = 663,652.34

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.