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Finding the Third Proportional to 258,166 and 562,263

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Solution

The third proportional to 258,166 and 562,263 is: 1,224,559.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,166 : 562,263 = 562,263 : x
  2. Step 2: Convert to fraction form
    258,166/562,263 = 562,263/x
  3. Step 3: Cross multiply
    258,166x = 562,263 × 562,263
  4. Step 4: Simplify right side
    258,166x = 316,139,681,169
  5. Step 5: Solve for x
    x = 316,139,681,169/258,166
  6. Step 6: Final answer
    x = 1,224,559.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.