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Finding the Third Proportional to 345,298 and 759,118

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Solution

The third proportional to 345,298 and 759,118 is: 1,668,877.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,298 : 759,118 = 759,118 : x
  2. Step 2: Convert to fraction form
    345,298/759,118 = 759,118/x
  3. Step 3: Cross multiply
    345,298x = 759,118 × 759,118
  4. Step 4: Simplify right side
    345,298x = 576,260,137,924
  5. Step 5: Solve for x
    x = 576,260,137,924/345,298
  6. Step 6: Final answer
    x = 1,668,877.72

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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.