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Finding the Third Proportional to 451,821.09 and 602,360.72

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Solution

The third proportional to 451,821.09 and 602,360.72 is: 803,057.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,821.09 : 602,360.72 = 602,360.72 : x
  2. Step 2: Convert to fraction form
    451,821.09/602,360.72 = 602,360.72/x
  3. Step 3: Cross multiply
    451,821.09x = 602,360.72 × 602,360.72
  4. Step 4: Simplify right side
    451,821.09x = 362,838,435,493.02
  5. Step 5: Solve for x
    x = 362,838,435,493.02/451,821.09
  6. Step 6: Final answer
    x = 803,057.76

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.