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Finding the Third Proportional to 362,217 and 786,702

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Solution

The third proportional to 362,217 and 786,702 is: 1,708,644.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,217 : 786,702 = 786,702 : x
  2. Step 2: Convert to fraction form
    362,217/786,702 = 786,702/x
  3. Step 3: Cross multiply
    362,217x = 786,702 × 786,702
  4. Step 4: Simplify right side
    362,217x = 618,900,036,804
  5. Step 5: Solve for x
    x = 618,900,036,804/362,217
  6. Step 6: Final answer
    x = 1,708,644.37

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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.