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Finding the Third Proportional to 493,008 and 704,512

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Solution

The third proportional to 493,008 and 704,512 is: 1,006,752.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,008 : 704,512 = 704,512 : x
  2. Step 2: Convert to fraction form
    493,008/704,512 = 704,512/x
  3. Step 3: Cross multiply
    493,008x = 704,512 × 704,512
  4. Step 4: Simplify right side
    493,008x = 496,337,158,144
  5. Step 5: Solve for x
    x = 496,337,158,144/493,008
  6. Step 6: Final answer
    x = 1,006,752.75

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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.