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Finding the Third Proportional to 492,870 and 704,793

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Solution

The third proportional to 492,870 and 704,793 is: 1,007,838.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,870 : 704,793 = 704,793 : x
  2. Step 2: Convert to fraction form
    492,870/704,793 = 704,793/x
  3. Step 3: Cross multiply
    492,870x = 704,793 × 704,793
  4. Step 4: Simplify right side
    492,870x = 496,733,172,849
  5. Step 5: Solve for x
    x = 496,733,172,849/492,870
  6. Step 6: Final answer
    x = 1,007,838.12

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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.