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Finding the Third Proportional to 485,482 and 743,006

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Solution

The third proportional to 485,482 and 743,006 is: 1,137,133.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,482 : 743,006 = 743,006 : x
  2. Step 2: Convert to fraction form
    485,482/743,006 = 743,006/x
  3. Step 3: Cross multiply
    485,482x = 743,006 × 743,006
  4. Step 4: Simplify right side
    485,482x = 552,057,916,036
  5. Step 5: Solve for x
    x = 552,057,916,036/485,482
  6. Step 6: Final answer
    x = 1,137,133.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.