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Finding the Third Proportional to 234,054 and 512,556

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Solution

The third proportional to 234,054 and 512,556 is: 1,122,448.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,054 : 512,556 = 512,556 : x
  2. Step 2: Convert to fraction form
    234,054/512,556 = 512,556/x
  3. Step 3: Cross multiply
    234,054x = 512,556 × 512,556
  4. Step 4: Simplify right side
    234,054x = 262,713,653,136
  5. Step 5: Solve for x
    x = 262,713,653,136/234,054
  6. Step 6: Final answer
    x = 1,122,448.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.