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Finding the Third Proportional to 386,568 and 832,124

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Solution

The third proportional to 386,568 and 832,124 is: 1,791,225.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,568 : 832,124 = 832,124 : x
  2. Step 2: Convert to fraction form
    386,568/832,124 = 832,124/x
  3. Step 3: Cross multiply
    386,568x = 832,124 × 832,124
  4. Step 4: Simplify right side
    386,568x = 692,430,351,376
  5. Step 5: Solve for x
    x = 692,430,351,376/386,568
  6. Step 6: Final answer
    x = 1,791,225.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.