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Finding the Third Proportional to 468,049 and 668,825

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Solution

The third proportional to 468,049 and 668,825 is: 955,726.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,049 : 668,825 = 668,825 : x
  2. Step 2: Convert to fraction form
    468,049/668,825 = 668,825/x
  3. Step 3: Cross multiply
    468,049x = 668,825 × 668,825
  4. Step 4: Simplify right side
    468,049x = 447,326,880,625
  5. Step 5: Solve for x
    x = 447,326,880,625/468,049
  6. Step 6: Final answer
    x = 955,726.60

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.