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Finding the Third Proportional to 342,792 and 702,288

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Solution

The third proportional to 342,792 and 702,288 is: 1,438,797.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,792 : 702,288 = 702,288 : x
  2. Step 2: Convert to fraction form
    342,792/702,288 = 702,288/x
  3. Step 3: Cross multiply
    342,792x = 702,288 × 702,288
  4. Step 4: Simplify right side
    342,792x = 493,208,434,944
  5. Step 5: Solve for x
    x = 493,208,434,944/342,792
  6. Step 6: Final answer
    x = 1,438,797.97

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.