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Finding the Third Proportional to 362,220 and 786,672

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Solution

The third proportional to 362,220 and 786,672 is: 1,708,499.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,220 : 786,672 = 786,672 : x
  2. Step 2: Convert to fraction form
    362,220/786,672 = 786,672/x
  3. Step 3: Cross multiply
    362,220x = 786,672 × 786,672
  4. Step 4: Simplify right side
    362,220x = 618,852,835,584
  5. Step 5: Solve for x
    x = 618,852,835,584/362,220
  6. Step 6: Final answer
    x = 1,708,499.90

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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.