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Finding the Third Proportional to 498,121 and 778,285

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Solution

The third proportional to 498,121 and 778,285 is: 1,216,024.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,121 : 778,285 = 778,285 : x
  2. Step 2: Convert to fraction form
    498,121/778,285 = 778,285/x
  3. Step 3: Cross multiply
    498,121x = 778,285 × 778,285
  4. Step 4: Simplify right side
    498,121x = 605,727,541,225
  5. Step 5: Solve for x
    x = 605,727,541,225/498,121
  6. Step 6: Final answer
    x = 1,216,024.90

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.