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Finding the Third Proportional to 300,124 and 457,808

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Solution

The third proportional to 300,124 and 457,808 is: 698,338.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,124 : 457,808 = 457,808 : x
  2. Step 2: Convert to fraction form
    300,124/457,808 = 457,808/x
  3. Step 3: Cross multiply
    300,124x = 457,808 × 457,808
  4. Step 4: Simplify right side
    300,124x = 209,588,164,864
  5. Step 5: Solve for x
    x = 209,588,164,864/300,124
  6. Step 6: Final answer
    x = 698,338.57

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.