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Finding the Third Proportional to 251,523 and 539,037

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Solution

The third proportional to 251,523 and 539,037 is: 1,155,206.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,523 : 539,037 = 539,037 : x
  2. Step 2: Convert to fraction form
    251,523/539,037 = 539,037/x
  3. Step 3: Cross multiply
    251,523x = 539,037 × 539,037
  4. Step 4: Simplify right side
    251,523x = 290,560,887,369
  5. Step 5: Solve for x
    x = 290,560,887,369/251,523
  6. Step 6: Final answer
    x = 1,155,206.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.