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Finding the Third Proportional to 498,126 and 778,296

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Solution

The third proportional to 498,126 and 778,296 is: 1,216,047.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,126 : 778,296 = 778,296 : x
  2. Step 2: Convert to fraction form
    498,126/778,296 = 778,296/x
  3. Step 3: Cross multiply
    498,126x = 778,296 × 778,296
  4. Step 4: Simplify right side
    498,126x = 605,744,663,616
  5. Step 5: Solve for x
    x = 605,744,663,616/498,126
  6. Step 6: Final answer
    x = 1,216,047.07

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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.