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Finding the Third Proportional to 345,937.50 and 759,981

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Solution

The third proportional to 345,937.50 and 759,981 is: 1,669,582.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,937.50 : 759,981 = 759,981 : x
  2. Step 2: Convert to fraction form
    345,937.50/759,981 = 759,981/x
  3. Step 3: Cross multiply
    345,937.50x = 759,981 × 759,981
  4. Step 4: Simplify right side
    345,937.50x = 577,571,120,361
  5. Step 5: Solve for x
    x = 577,571,120,361/345,937.50
  6. Step 6: Final answer
    x = 1,669,582.28

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.