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Finding the Third Proportional to 262,250 and 562,732

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Solution

The third proportional to 262,250 and 562,732 is: 1,207,501.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,250 : 562,732 = 562,732 : x
  2. Step 2: Convert to fraction form
    262,250/562,732 = 562,732/x
  3. Step 3: Cross multiply
    262,250x = 562,732 × 562,732
  4. Step 4: Simplify right side
    262,250x = 316,667,303,824
  5. Step 5: Solve for x
    x = 316,667,303,824/262,250
  6. Step 6: Final answer
    x = 1,207,501.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.