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Finding the Third Proportional to 492,977 and 704,473

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Solution

The third proportional to 492,977 and 704,473 is: 1,006,704.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,977 : 704,473 = 704,473 : x
  2. Step 2: Convert to fraction form
    492,977/704,473 = 704,473/x
  3. Step 3: Cross multiply
    492,977x = 704,473 × 704,473
  4. Step 4: Simplify right side
    492,977x = 496,282,207,729
  5. Step 5: Solve for x
    x = 496,282,207,729/492,977
  6. Step 6: Final answer
    x = 1,006,704.59

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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.