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Finding the Third Proportional to 488,101 and 738,164

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Solution

The third proportional to 488,101 and 738,164 is: 1,116,338.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,101 : 738,164 = 738,164 : x
  2. Step 2: Convert to fraction form
    488,101/738,164 = 738,164/x
  3. Step 3: Cross multiply
    488,101x = 738,164 × 738,164
  4. Step 4: Simplify right side
    488,101x = 544,886,090,896
  5. Step 5: Solve for x
    x = 544,886,090,896/488,101
  6. Step 6: Final answer
    x = 1,116,338.81

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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.