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Finding the Third Proportional to 340,220 and 732,442

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Solution

The third proportional to 340,220 and 732,442 is: 1,576,836.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,220 : 732,442 = 732,442 : x
  2. Step 2: Convert to fraction form
    340,220/732,442 = 732,442/x
  3. Step 3: Cross multiply
    340,220x = 732,442 × 732,442
  4. Step 4: Simplify right side
    340,220x = 536,471,283,364
  5. Step 5: Solve for x
    x = 536,471,283,364/340,220
  6. Step 6: Final answer
    x = 1,576,836.41

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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.