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Finding the Third Proportional to 503,108 and 747,814

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Solution

The third proportional to 503,108 and 747,814 is: 1,111,542.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,108 : 747,814 = 747,814 : x
  2. Step 2: Convert to fraction form
    503,108/747,814 = 747,814/x
  3. Step 3: Cross multiply
    503,108x = 747,814 × 747,814
  4. Step 4: Simplify right side
    503,108x = 559,225,778,596
  5. Step 5: Solve for x
    x = 559,225,778,596/503,108
  6. Step 6: Final answer
    x = 1,111,542.21

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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.