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Finding the Third Proportional to 362,466 and 777,420

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Solution

The third proportional to 362,466 and 777,420 is: 1,667,416.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,466 : 777,420 = 777,420 : x
  2. Step 2: Convert to fraction form
    362,466/777,420 = 777,420/x
  3. Step 3: Cross multiply
    362,466x = 777,420 × 777,420
  4. Step 4: Simplify right side
    362,466x = 604,381,856,400
  5. Step 5: Solve for x
    x = 604,381,856,400/362,466
  6. Step 6: Final answer
    x = 1,667,416.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.