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Finding the Third Proportional to 451,603.69 and 619,260.19

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Solution

The third proportional to 451,603.69 and 619,260.19 is: 849,158.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,603.69 : 619,260.19 = 619,260.19 : x
  2. Step 2: Convert to fraction form
    451,603.69/619,260.19 = 619,260.19/x
  3. Step 3: Cross multiply
    451,603.69x = 619,260.19 × 619,260.19
  4. Step 4: Simplify right side
    451,603.69x = 383,483,179,822.54
  5. Step 5: Solve for x
    x = 383,483,179,822.54/451,603.69
  6. Step 6: Final answer
    x = 849,158.65

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.