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Finding the Third Proportional to 493,011 and 704,523

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Solution

The third proportional to 493,011 and 704,523 is: 1,006,778.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,011 : 704,523 = 704,523 : x
  2. Step 2: Convert to fraction form
    493,011/704,523 = 704,523/x
  3. Step 3: Cross multiply
    493,011x = 704,523 × 704,523
  4. Step 4: Simplify right side
    493,011x = 496,352,657,529
  5. Step 5: Solve for x
    x = 496,352,657,529/493,011
  6. Step 6: Final answer
    x = 1,006,778.06

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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.