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Finding the Third Proportional to 250,724 and 522,184

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Solution

The third proportional to 250,724 and 522,184 is: 1,087,554.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,724 : 522,184 = 522,184 : x
  2. Step 2: Convert to fraction form
    250,724/522,184 = 522,184/x
  3. Step 3: Cross multiply
    250,724x = 522,184 × 522,184
  4. Step 4: Simplify right side
    250,724x = 272,676,129,856
  5. Step 5: Solve for x
    x = 272,676,129,856/250,724
  6. Step 6: Final answer
    x = 1,087,554.96

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.