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Finding the Third Proportional to 262,456 and 562,220

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Solution

The third proportional to 262,456 and 562,220 is: 1,204,359.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,456 : 562,220 = 562,220 : x
  2. Step 2: Convert to fraction form
    262,456/562,220 = 562,220/x
  3. Step 3: Cross multiply
    262,456x = 562,220 × 562,220
  4. Step 4: Simplify right side
    262,456x = 316,091,328,400
  5. Step 5: Solve for x
    x = 316,091,328,400/262,456
  6. Step 6: Final answer
    x = 1,204,359.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.