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Finding the Third Proportional to 306,792 and 464,940

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Solution

The third proportional to 306,792 and 464,940 is: 704,611.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,792 : 464,940 = 464,940 : x
  2. Step 2: Convert to fraction form
    306,792/464,940 = 464,940/x
  3. Step 3: Cross multiply
    306,792x = 464,940 × 464,940
  4. Step 4: Simplify right side
    306,792x = 216,169,203,600
  5. Step 5: Solve for x
    x = 216,169,203,600/306,792
  6. Step 6: Final answer
    x = 704,611.61

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.