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Finding the Third Proportional to 183,438 and 400,501

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Solution

The third proportional to 183,438 and 400,501 is: 874,415.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,438 : 400,501 = 400,501 : x
  2. Step 2: Convert to fraction form
    183,438/400,501 = 400,501/x
  3. Step 3: Cross multiply
    183,438x = 400,501 × 400,501
  4. Step 4: Simplify right side
    183,438x = 160,401,051,001
  5. Step 5: Solve for x
    x = 160,401,051,001/183,438
  6. Step 6: Final answer
    x = 874,415.61

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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.