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Finding the Third Proportional to 258,999.50 and 562,293

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Solution

The third proportional to 258,999.50 and 562,293 is: 1,220,749.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,999.50 : 562,293 = 562,293 : x
  2. Step 2: Convert to fraction form
    258,999.50/562,293 = 562,293/x
  3. Step 3: Cross multiply
    258,999.50x = 562,293 × 562,293
  4. Step 4: Simplify right side
    258,999.50x = 316,173,417,849
  5. Step 5: Solve for x
    x = 316,173,417,849/258,999.50
  6. Step 6: Final answer
    x = 1,220,749.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.