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Finding the Third Proportional to 478,404 and 770,826

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Solution

The third proportional to 478,404 and 770,826 is: 1,241,989.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,404 : 770,826 = 770,826 : x
  2. Step 2: Convert to fraction form
    478,404/770,826 = 770,826/x
  3. Step 3: Cross multiply
    478,404x = 770,826 × 770,826
  4. Step 4: Simplify right side
    478,404x = 594,172,722,276
  5. Step 5: Solve for x
    x = 594,172,722,276/478,404
  6. Step 6: Final answer
    x = 1,241,989.45

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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.