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Finding the Third Proportional to 345,942 and 759,988.50

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Solution

The third proportional to 345,942 and 759,988.50 is: 1,669,593.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,942 : 759,988.50 = 759,988.50 : x
  2. Step 2: Convert to fraction form
    345,942/759,988.50 = 759,988.50/x
  3. Step 3: Cross multiply
    345,942x = 759,988.50 × 759,988.50
  4. Step 4: Simplify right side
    345,942x = 577,582,520,132.25
  5. Step 5: Solve for x
    x = 577,582,520,132.25/345,942
  6. Step 6: Final answer
    x = 1,669,593.52

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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.