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Finding the Third Proportional to 480,039 and 773,262

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Solution

The third proportional to 480,039 and 773,262 is: 1,245,594.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,039 : 773,262 = 773,262 : x
  2. Step 2: Convert to fraction form
    480,039/773,262 = 773,262/x
  3. Step 3: Cross multiply
    480,039x = 773,262 × 773,262
  4. Step 4: Simplify right side
    480,039x = 597,934,120,644
  5. Step 5: Solve for x
    x = 597,934,120,644/480,039
  6. Step 6: Final answer
    x = 1,245,594.88

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.