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Finding the Third Proportional to 300,394 and 464,970

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Solution

The third proportional to 300,394 and 464,970 is: 719,711.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,394 : 464,970 = 464,970 : x
  2. Step 2: Convert to fraction form
    300,394/464,970 = 464,970/x
  3. Step 3: Cross multiply
    300,394x = 464,970 × 464,970
  4. Step 4: Simplify right side
    300,394x = 216,197,100,900
  5. Step 5: Solve for x
    x = 216,197,100,900/300,394
  6. Step 6: Final answer
    x = 719,711.78

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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.