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Finding the Third Proportional to 474,694 and 734,769

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Solution

The third proportional to 474,694 and 734,769 is: 1,137,333.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,694 : 734,769 = 734,769 : x
  2. Step 2: Convert to fraction form
    474,694/734,769 = 734,769/x
  3. Step 3: Cross multiply
    474,694x = 734,769 × 734,769
  4. Step 4: Simplify right side
    474,694x = 539,885,483,361
  5. Step 5: Solve for x
    x = 539,885,483,361/474,694
  6. Step 6: Final answer
    x = 1,137,333.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.