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Finding the Third Proportional to 493,023 and 704,542.50

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Solution

The third proportional to 493,023 and 704,542.50 is: 1,006,809.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,023 : 704,542.50 = 704,542.50 : x
  2. Step 2: Convert to fraction form
    493,023/704,542.50 = 704,542.50/x
  3. Step 3: Cross multiply
    493,023x = 704,542.50 × 704,542.50
  4. Step 4: Simplify right side
    493,023x = 496,380,134,306.25
  5. Step 5: Solve for x
    x = 496,380,134,306.25/493,023
  6. Step 6: Final answer
    x = 1,006,809.29

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.