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Finding the Third Proportional to 503,760 and 704,376

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Solution

The third proportional to 503,760 and 704,376 is: 984,884.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,760 : 704,376 = 704,376 : x
  2. Step 2: Convert to fraction form
    503,760/704,376 = 704,376/x
  3. Step 3: Cross multiply
    503,760x = 704,376 × 704,376
  4. Step 4: Simplify right side
    503,760x = 496,145,549,376
  5. Step 5: Solve for x
    x = 496,145,549,376/503,760
  6. Step 6: Final answer
    x = 984,884.77

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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.