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Finding the Third Proportional to 577,716 and 868,356

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Solution

The third proportional to 577,716 and 868,356 is: 1,305,212.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,716 : 868,356 = 868,356 : x
  2. Step 2: Convert to fraction form
    577,716/868,356 = 868,356/x
  3. Step 3: Cross multiply
    577,716x = 868,356 × 868,356
  4. Step 4: Simplify right side
    577,716x = 754,042,142,736
  5. Step 5: Solve for x
    x = 754,042,142,736/577,716
  6. Step 6: Final answer
    x = 1,305,212.50

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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.