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Finding the Third Proportional to 361,746 and 785,748

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Solution

The third proportional to 361,746 and 785,748 is: 1,706,722.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,746 : 785,748 = 785,748 : x
  2. Step 2: Convert to fraction form
    361,746/785,748 = 785,748/x
  3. Step 3: Cross multiply
    361,746x = 785,748 × 785,748
  4. Step 4: Simplify right side
    361,746x = 617,399,919,504
  5. Step 5: Solve for x
    x = 617,399,919,504/361,746
  6. Step 6: Final answer
    x = 1,706,722.17

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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.