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Finding the Third Proportional to 480,006 and 743,418

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Solution

The third proportional to 480,006 and 743,418 is: 1,151,382.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,006 : 743,418 = 743,418 : x
  2. Step 2: Convert to fraction form
    480,006/743,418 = 743,418/x
  3. Step 3: Cross multiply
    480,006x = 743,418 × 743,418
  4. Step 4: Simplify right side
    480,006x = 552,670,322,724
  5. Step 5: Solve for x
    x = 552,670,322,724/480,006
  6. Step 6: Final answer
    x = 1,151,382.11

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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.