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Finding the Third Proportional to 262,500 and 562,344

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Solution

The third proportional to 262,500 and 562,344 is: 1,204,688.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,500 : 562,344 = 562,344 : x
  2. Step 2: Convert to fraction form
    262,500/562,344 = 562,344/x
  3. Step 3: Cross multiply
    262,500x = 562,344 × 562,344
  4. Step 4: Simplify right side
    262,500x = 316,230,774,336
  5. Step 5: Solve for x
    x = 316,230,774,336/262,500
  6. Step 6: Final answer
    x = 1,204,688.66

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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.