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Finding the Third Proportional to 341,199 and 744,510

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Solution

The third proportional to 341,199 and 744,510 is: 1,624,550.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,199 : 744,510 = 744,510 : x
  2. Step 2: Convert to fraction form
    341,199/744,510 = 744,510/x
  3. Step 3: Cross multiply
    341,199x = 744,510 × 744,510
  4. Step 4: Simplify right side
    341,199x = 554,295,140,100
  5. Step 5: Solve for x
    x = 554,295,140,100/341,199
  6. Step 6: Final answer
    x = 1,624,550.89

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.