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Finding the Third Proportional to 513,351 and 790,074

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Solution

The third proportional to 513,351 and 790,074 is: 1,215,965.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,351 : 790,074 = 790,074 : x
  2. Step 2: Convert to fraction form
    513,351/790,074 = 790,074/x
  3. Step 3: Cross multiply
    513,351x = 790,074 × 790,074
  4. Step 4: Simplify right side
    513,351x = 624,216,925,476
  5. Step 5: Solve for x
    x = 624,216,925,476/513,351
  6. Step 6: Final answer
    x = 1,215,965.15

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.