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Finding the Third Proportional to 503,824 and 704,464

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Solution

The third proportional to 503,824 and 704,464 is: 985,005.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,824 : 704,464 = 704,464 : x
  2. Step 2: Convert to fraction form
    503,824/704,464 = 704,464/x
  3. Step 3: Cross multiply
    503,824x = 704,464 × 704,464
  4. Step 4: Simplify right side
    503,824x = 496,269,527,296
  5. Step 5: Solve for x
    x = 496,269,527,296/503,824
  6. Step 6: Final answer
    x = 985,005.73

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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.