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Finding the Third Proportional to 258,255.50 and 562,255

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Solution

The third proportional to 258,255.50 and 562,255 is: 1,224,100.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,255.50 : 562,255 = 562,255 : x
  2. Step 2: Convert to fraction form
    258,255.50/562,255 = 562,255/x
  3. Step 3: Cross multiply
    258,255.50x = 562,255 × 562,255
  4. Step 4: Simplify right side
    258,255.50x = 316,130,685,025
  5. Step 5: Solve for x
    x = 316,130,685,025/258,255.50
  6. Step 6: Final answer
    x = 1,224,100.49

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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.