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Finding the Third Proportional to 343,510 and 756,760

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Solution

The third proportional to 343,510 and 756,760 is: 1,667,158.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,510 : 756,760 = 756,760 : x
  2. Step 2: Convert to fraction form
    343,510/756,760 = 756,760/x
  3. Step 3: Cross multiply
    343,510x = 756,760 × 756,760
  4. Step 4: Simplify right side
    343,510x = 572,685,697,600
  5. Step 5: Solve for x
    x = 572,685,697,600/343,510
  6. Step 6: Final answer
    x = 1,667,158.74

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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.