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Finding the Third Proportional to 362,344 and 852,574

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Solution

The third proportional to 362,344 and 852,574 is: 2,006,056.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,344 : 852,574 = 852,574 : x
  2. Step 2: Convert to fraction form
    362,344/852,574 = 852,574/x
  3. Step 3: Cross multiply
    362,344x = 852,574 × 852,574
  4. Step 4: Simplify right side
    362,344x = 726,882,425,476
  5. Step 5: Solve for x
    x = 726,882,425,476/362,344
  6. Step 6: Final answer
    x = 2,006,056.19

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.