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Finding the Third Proportional to 492,873 and 704,797.50

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Solution

The third proportional to 492,873 and 704,797.50 is: 1,007,844.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,873 : 704,797.50 = 704,797.50 : x
  2. Step 2: Convert to fraction form
    492,873/704,797.50 = 704,797.50/x
  3. Step 3: Cross multiply
    492,873x = 704,797.50 × 704,797.50
  4. Step 4: Simplify right side
    492,873x = 496,739,516,006.25
  5. Step 5: Solve for x
    x = 496,739,516,006.25/492,873
  6. Step 6: Final answer
    x = 1,007,844.85

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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.