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Finding the Third Proportional to 500,738 and 763,718

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Solution

The third proportional to 500,738 and 763,718 is: 1,164,811.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,738 : 763,718 = 763,718 : x
  2. Step 2: Convert to fraction form
    500,738/763,718 = 763,718/x
  3. Step 3: Cross multiply
    500,738x = 763,718 × 763,718
  4. Step 4: Simplify right side
    500,738x = 583,265,183,524
  5. Step 5: Solve for x
    x = 583,265,183,524/500,738
  6. Step 6: Final answer
    x = 1,164,811.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.