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Finding the Third Proportional to 503,868 and 704,442

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Solution

The third proportional to 503,868 and 704,442 is: 984,858.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,868 : 704,442 = 704,442 : x
  2. Step 2: Convert to fraction form
    503,868/704,442 = 704,442/x
  3. Step 3: Cross multiply
    503,868x = 704,442 × 704,442
  4. Step 4: Simplify right side
    503,868x = 496,238,531,364
  5. Step 5: Solve for x
    x = 496,238,531,364/503,868
  6. Step 6: Final answer
    x = 984,858.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.