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Finding the Third Proportional to 216,785 and 463,702

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Solution

The third proportional to 216,785 and 463,702 is: 991,856.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,785 : 463,702 = 463,702 : x
  2. Step 2: Convert to fraction form
    216,785/463,702 = 463,702/x
  3. Step 3: Cross multiply
    216,785x = 463,702 × 463,702
  4. Step 4: Simplify right side
    216,785x = 215,019,544,804
  5. Step 5: Solve for x
    x = 215,019,544,804/216,785
  6. Step 6: Final answer
    x = 991,856.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.