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Finding the Third Proportional to 493,004 and 704,505

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Solution

The third proportional to 493,004 and 704,505 is: 1,006,740.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,004 : 704,505 = 704,505 : x
  2. Step 2: Convert to fraction form
    493,004/704,505 = 704,505/x
  3. Step 3: Cross multiply
    493,004x = 704,505 × 704,505
  4. Step 4: Simplify right side
    493,004x = 496,327,295,025
  5. Step 5: Solve for x
    x = 496,327,295,025/493,004
  6. Step 6: Final answer
    x = 1,006,740.91

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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.