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Finding the Third Proportional to 259,897.50 and 562,441.50

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Solution

The third proportional to 259,897.50 and 562,441.50 is: 1,217,173.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,897.50 : 562,441.50 = 562,441.50 : x
  2. Step 2: Convert to fraction form
    259,897.50/562,441.50 = 562,441.50/x
  3. Step 3: Cross multiply
    259,897.50x = 562,441.50 × 562,441.50
  4. Step 4: Simplify right side
    259,897.50x = 316,340,440,922.25
  5. Step 5: Solve for x
    x = 316,340,440,922.25/259,897.50
  6. Step 6: Final answer
    x = 1,217,173.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.