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Finding the Third Proportional to 493,007.50 and 704,519

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Solution

The third proportional to 493,007.50 and 704,519 is: 1,006,773.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,007.50 : 704,519 = 704,519 : x
  2. Step 2: Convert to fraction form
    493,007.50/704,519 = 704,519/x
  3. Step 3: Cross multiply
    493,007.50x = 704,519 × 704,519
  4. Step 4: Simplify right side
    493,007.50x = 496,347,021,361
  5. Step 5: Solve for x
    x = 496,347,021,361/493,007.50
  6. Step 6: Final answer
    x = 1,006,773.77

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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.