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Finding the Third Proportional to 388,922 and 583,749

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Solution

The third proportional to 388,922 and 583,749 is: 876,172.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,922 : 583,749 = 583,749 : x
  2. Step 2: Convert to fraction form
    388,922/583,749 = 583,749/x
  3. Step 3: Cross multiply
    388,922x = 583,749 × 583,749
  4. Step 4: Simplify right side
    388,922x = 340,762,895,001
  5. Step 5: Solve for x
    x = 340,762,895,001/388,922
  6. Step 6: Final answer
    x = 876,172.84

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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.