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Finding the Third Proportional to 465,217 and 737,864

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Solution

The third proportional to 465,217 and 737,864 is: 1,170,299.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,217 : 737,864 = 737,864 : x
  2. Step 2: Convert to fraction form
    465,217/737,864 = 737,864/x
  3. Step 3: Cross multiply
    465,217x = 737,864 × 737,864
  4. Step 4: Simplify right side
    465,217x = 544,443,282,496
  5. Step 5: Solve for x
    x = 544,443,282,496/465,217
  6. Step 6: Final answer
    x = 1,170,299.63

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.