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Finding the Third Proportional to 340,088 and 739,792

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Solution

The third proportional to 340,088 and 739,792 is: 1,609,266.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,088 : 739,792 = 739,792 : x
  2. Step 2: Convert to fraction form
    340,088/739,792 = 739,792/x
  3. Step 3: Cross multiply
    340,088x = 739,792 × 739,792
  4. Step 4: Simplify right side
    340,088x = 547,292,203,264
  5. Step 5: Solve for x
    x = 547,292,203,264/340,088
  6. Step 6: Final answer
    x = 1,609,266.43

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Why These Related Problems?

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