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Finding the Third Proportional to 288,783 and 625,680

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Solution

The third proportional to 288,783 and 625,680 is: 1,355,604.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,783 : 625,680 = 625,680 : x
  2. Step 2: Convert to fraction form
    288,783/625,680 = 625,680/x
  3. Step 3: Cross multiply
    288,783x = 625,680 × 625,680
  4. Step 4: Simplify right side
    288,783x = 391,475,462,400
  5. Step 5: Solve for x
    x = 391,475,462,400/288,783
  6. Step 6: Final answer
    x = 1,355,604.25

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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.