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Finding the Third Proportional to 201,301.77 and 438,772.57

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Solution

The third proportional to 201,301.77 and 438,772.57 is: 956,381.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,301.77 : 438,772.57 = 438,772.57 : x
  2. Step 2: Convert to fraction form
    201,301.77/438,772.57 = 438,772.57/x
  3. Step 3: Cross multiply
    201,301.77x = 438,772.57 × 438,772.57
  4. Step 4: Simplify right side
    201,301.77x = 192,521,368,458.64
  5. Step 5: Solve for x
    x = 192,521,368,458.64/201,301.77
  6. Step 6: Final answer
    x = 956,381.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.