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Finding the Third Proportional to 503,110 and 747,818

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Solution

The third proportional to 503,110 and 747,818 is: 1,111,549.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,110 : 747,818 = 747,818 : x
  2. Step 2: Convert to fraction form
    503,110/747,818 = 747,818/x
  3. Step 3: Cross multiply
    503,110x = 747,818 × 747,818
  4. Step 4: Simplify right side
    503,110x = 559,231,761,124
  5. Step 5: Solve for x
    x = 559,231,761,124/503,110
  6. Step 6: Final answer
    x = 1,111,549.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.