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Finding the Third Proportional to 347,802 and 732,966

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Solution

The third proportional to 347,802 and 732,966 is: 1,544,669.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,802 : 732,966 = 732,966 : x
  2. Step 2: Convert to fraction form
    347,802/732,966 = 732,966/x
  3. Step 3: Cross multiply
    347,802x = 732,966 × 732,966
  4. Step 4: Simplify right side
    347,802x = 537,239,157,156
  5. Step 5: Solve for x
    x = 537,239,157,156/347,802
  6. Step 6: Final answer
    x = 1,544,669.55

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.