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Finding the Third Proportional to 204,033 and 390,057

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Solution

The third proportional to 204,033 and 390,057 is: 745,685.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,033 : 390,057 = 390,057 : x
  2. Step 2: Convert to fraction form
    204,033/390,057 = 390,057/x
  3. Step 3: Cross multiply
    204,033x = 390,057 × 390,057
  4. Step 4: Simplify right side
    204,033x = 152,144,463,249
  5. Step 5: Solve for x
    x = 152,144,463,249/204,033
  6. Step 6: Final answer
    x = 745,685.57

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.