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Finding the Third Proportional to 340,206 and 732,414

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Solution

The third proportional to 340,206 and 732,414 is: 1,576,780.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,206 : 732,414 = 732,414 : x
  2. Step 2: Convert to fraction form
    340,206/732,414 = 732,414/x
  3. Step 3: Cross multiply
    340,206x = 732,414 × 732,414
  4. Step 4: Simplify right side
    340,206x = 536,430,267,396
  5. Step 5: Solve for x
    x = 536,430,267,396/340,206
  6. Step 6: Final answer
    x = 1,576,780.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.