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Finding the Third Proportional to 381,028 and 829,784

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Solution

The third proportional to 381,028 and 829,784 is: 1,807,062.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,028 : 829,784 = 829,784 : x
  2. Step 2: Convert to fraction form
    381,028/829,784 = 829,784/x
  3. Step 3: Cross multiply
    381,028x = 829,784 × 829,784
  4. Step 4: Simplify right side
    381,028x = 688,541,486,656
  5. Step 5: Solve for x
    x = 688,541,486,656/381,028
  6. Step 6: Final answer
    x = 1,807,062.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.