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Finding the Third Proportional to 488,806 and 738,127

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Solution

The third proportional to 488,806 and 738,127 is: 1,114,616.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,806 : 738,127 = 738,127 : x
  2. Step 2: Convert to fraction form
    488,806/738,127 = 738,127/x
  3. Step 3: Cross multiply
    488,806x = 738,127 × 738,127
  4. Step 4: Simplify right side
    488,806x = 544,831,468,129
  5. Step 5: Solve for x
    x = 544,831,468,129/488,806
  6. Step 6: Final answer
    x = 1,114,616.98

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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.