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Finding the Third Proportional to 485,642 and 737,211

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Solution

The third proportional to 485,642 and 737,211 is: 1,119,096.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,642 : 737,211 = 737,211 : x
  2. Step 2: Convert to fraction form
    485,642/737,211 = 737,211/x
  3. Step 3: Cross multiply
    485,642x = 737,211 × 737,211
  4. Step 4: Simplify right side
    485,642x = 543,480,058,521
  5. Step 5: Solve for x
    x = 543,480,058,521/485,642
  6. Step 6: Final answer
    x = 1,119,096.08

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.