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Finding the Third Proportional to 340,416 and 732,096

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Solution

The third proportional to 340,416 and 732,096 is: 1,574,439.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,416 : 732,096 = 732,096 : x
  2. Step 2: Convert to fraction form
    340,416/732,096 = 732,096/x
  3. Step 3: Cross multiply
    340,416x = 732,096 × 732,096
  4. Step 4: Simplify right side
    340,416x = 535,964,553,216
  5. Step 5: Solve for x
    x = 535,964,553,216/340,416
  6. Step 6: Final answer
    x = 1,574,439.96

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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.