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Finding the Third Proportional to 342,848 and 746,624

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Solution

The third proportional to 342,848 and 746,624 is: 1,625,931.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,848 : 746,624 = 746,624 : x
  2. Step 2: Convert to fraction form
    342,848/746,624 = 746,624/x
  3. Step 3: Cross multiply
    342,848x = 746,624 × 746,624
  4. Step 4: Simplify right side
    342,848x = 557,447,397,376
  5. Step 5: Solve for x
    x = 557,447,397,376/342,848
  6. Step 6: Final answer
    x = 1,625,931.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.