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Finding the Third Proportional to 361,764 and 785,784

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Solution

The third proportional to 361,764 and 785,784 is: 1,706,793.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,764 : 785,784 = 785,784 : x
  2. Step 2: Convert to fraction form
    361,764/785,784 = 785,784/x
  3. Step 3: Cross multiply
    361,764x = 785,784 × 785,784
  4. Step 4: Simplify right side
    361,764x = 617,456,494,656
  5. Step 5: Solve for x
    x = 617,456,494,656/361,764
  6. Step 6: Final answer
    x = 1,706,793.64

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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.