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Finding the Third Proportional to 484,378 and 747,006

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Solution

The third proportional to 484,378 and 747,006 is: 1,152,029.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,378 : 747,006 = 747,006 : x
  2. Step 2: Convert to fraction form
    484,378/747,006 = 747,006/x
  3. Step 3: Cross multiply
    484,378x = 747,006 × 747,006
  4. Step 4: Simplify right side
    484,378x = 558,017,964,036
  5. Step 5: Solve for x
    x = 558,017,964,036/484,378
  6. Step 6: Final answer
    x = 1,152,029.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.