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Finding the Third Proportional to 341,667 and 499,332

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Solution

The third proportional to 341,667 and 499,332 is: 729,752.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,667 : 499,332 = 499,332 : x
  2. Step 2: Convert to fraction form
    341,667/499,332 = 499,332/x
  3. Step 3: Cross multiply
    341,667x = 499,332 × 499,332
  4. Step 4: Simplify right side
    341,667x = 249,332,446,224
  5. Step 5: Solve for x
    x = 249,332,446,224/341,667
  6. Step 6: Final answer
    x = 729,752.79

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.