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Finding the Third Proportional to 250,707 and 529,332

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Solution

The third proportional to 250,707 and 529,332 is: 1,117,608.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,707 : 529,332 = 529,332 : x
  2. Step 2: Convert to fraction form
    250,707/529,332 = 529,332/x
  3. Step 3: Cross multiply
    250,707x = 529,332 × 529,332
  4. Step 4: Simplify right side
    250,707x = 280,192,366,224
  5. Step 5: Solve for x
    x = 280,192,366,224/250,707
  6. Step 6: Final answer
    x = 1,117,608.87

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.