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Finding the Third Proportional to 361,712 and 785,696

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Solution

The third proportional to 361,712 and 785,696 is: 1,706,656.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,712 : 785,696 = 785,696 : x
  2. Step 2: Convert to fraction form
    361,712/785,696 = 785,696/x
  3. Step 3: Cross multiply
    361,712x = 785,696 × 785,696
  4. Step 4: Simplify right side
    361,712x = 617,318,204,416
  5. Step 5: Solve for x
    x = 617,318,204,416/361,712
  6. Step 6: Final answer
    x = 1,706,656.69

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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.