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Finding the Third Proportional to 585,960 and 878,778

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Solution

The third proportional to 585,960 and 878,778 is: 1,317,924.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,960 : 878,778 = 878,778 : x
  2. Step 2: Convert to fraction form
    585,960/878,778 = 878,778/x
  3. Step 3: Cross multiply
    585,960x = 878,778 × 878,778
  4. Step 4: Simplify right side
    585,960x = 772,250,773,284
  5. Step 5: Solve for x
    x = 772,250,773,284/585,960
  6. Step 6: Final answer
    x = 1,317,924.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.