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Finding the Third Proportional to 259,970.25 and 562,586.25

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Solution

The third proportional to 259,970.25 and 562,586.25 is: 1,217,459.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,970.25 : 562,586.25 = 562,586.25 : x
  2. Step 2: Convert to fraction form
    259,970.25/562,586.25 = 562,586.25/x
  3. Step 3: Cross multiply
    259,970.25x = 562,586.25 × 562,586.25
  4. Step 4: Simplify right side
    259,970.25x = 316,503,288,689.06
  5. Step 5: Solve for x
    x = 316,503,288,689.06/259,970.25
  6. Step 6: Final answer
    x = 1,217,459.65

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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.