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Finding the Third Proportional to 601,971.75 and 802,902.38

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Solution

The third proportional to 601,971.75 and 802,902.38 is: 1,070,901.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,971.75 : 802,902.38 = 802,902.38 : x
  2. Step 2: Convert to fraction form
    601,971.75/802,902.38 = 802,902.38/x
  3. Step 3: Cross multiply
    601,971.75x = 802,902.38 × 802,902.38
  4. Step 4: Simplify right side
    601,971.75x = 644,652,223,780.64
  5. Step 5: Solve for x
    x = 644,652,223,780.64/601,971.75
  6. Step 6: Final answer
    x = 1,070,901.12

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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.