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Finding the Third Proportional to 492,875 and 704,800

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Solution

The third proportional to 492,875 and 704,800 is: 1,007,847.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,875 : 704,800 = 704,800 : x
  2. Step 2: Convert to fraction form
    492,875/704,800 = 704,800/x
  3. Step 3: Cross multiply
    492,875x = 704,800 × 704,800
  4. Step 4: Simplify right side
    492,875x = 496,743,040,000
  5. Step 5: Solve for x
    x = 496,743,040,000/492,875
  6. Step 6: Final answer
    x = 1,007,847.91

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.