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Finding the Third Proportional to 300,332.25 and 464,877

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Solution

The third proportional to 300,332.25 and 464,877 is: 719,571.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,332.25 : 464,877 = 464,877 : x
  2. Step 2: Convert to fraction form
    300,332.25/464,877 = 464,877/x
  3. Step 3: Cross multiply
    300,332.25x = 464,877 × 464,877
  4. Step 4: Simplify right side
    300,332.25x = 216,110,625,129
  5. Step 5: Solve for x
    x = 216,110,625,129/300,332.25
  6. Step 6: Final answer
    x = 719,571.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.