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Finding the Third Proportional to 585,920 and 878,796

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Solution

The third proportional to 585,920 and 878,796 is: 1,318,068.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,920 : 878,796 = 878,796 : x
  2. Step 2: Convert to fraction form
    585,920/878,796 = 878,796/x
  3. Step 3: Cross multiply
    585,920x = 878,796 × 878,796
  4. Step 4: Simplify right side
    585,920x = 772,282,409,616
  5. Step 5: Solve for x
    x = 772,282,409,616/585,920
  6. Step 6: Final answer
    x = 1,318,068.01

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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.