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Finding the Third Proportional to 451,791 and 602,305.50

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Solution

The third proportional to 451,791 and 602,305.50 is: 802,964.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,791 : 602,305.50 = 602,305.50 : x
  2. Step 2: Convert to fraction form
    451,791/602,305.50 = 602,305.50/x
  3. Step 3: Cross multiply
    451,791x = 602,305.50 × 602,305.50
  4. Step 4: Simplify right side
    451,791x = 362,771,915,330.25
  5. Step 5: Solve for x
    x = 362,771,915,330.25/451,791
  6. Step 6: Final answer
    x = 802,964.02

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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.