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Finding the Third Proportional to 294,960 and 457,488

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Solution

The third proportional to 294,960 and 457,488 is: 709,571.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,960 : 457,488 = 457,488 : x
  2. Step 2: Convert to fraction form
    294,960/457,488 = 457,488/x
  3. Step 3: Cross multiply
    294,960x = 457,488 × 457,488
  4. Step 4: Simplify right side
    294,960x = 209,295,270,144
  5. Step 5: Solve for x
    x = 209,295,270,144/294,960
  6. Step 6: Final answer
    x = 709,571.71

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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.