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Finding the Third Proportional to 485,346 and 734,802

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Solution

The third proportional to 485,346 and 734,802 is: 1,112,472.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,346 : 734,802 = 734,802 : x
  2. Step 2: Convert to fraction form
    485,346/734,802 = 734,802/x
  3. Step 3: Cross multiply
    485,346x = 734,802 × 734,802
  4. Step 4: Simplify right side
    485,346x = 539,933,979,204
  5. Step 5: Solve for x
    x = 539,933,979,204/485,346
  6. Step 6: Final answer
    x = 1,112,472.30

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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.