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Finding the Third Proportional to 362,216 and 786,663

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Solution

The third proportional to 362,216 and 786,663 is: 1,708,479.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,216 : 786,663 = 786,663 : x
  2. Step 2: Convert to fraction form
    362,216/786,663 = 786,663/x
  3. Step 3: Cross multiply
    362,216x = 786,663 × 786,663
  4. Step 4: Simplify right side
    362,216x = 618,838,675,569
  5. Step 5: Solve for x
    x = 618,838,675,569/362,216
  6. Step 6: Final answer
    x = 1,708,479.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.