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Finding the Third Proportional to 332,208 and 515,784

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Solution

The third proportional to 332,208 and 515,784 is: 800,802.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,208 : 515,784 = 515,784 : x
  2. Step 2: Convert to fraction form
    332,208/515,784 = 515,784/x
  3. Step 3: Cross multiply
    332,208x = 515,784 × 515,784
  4. Step 4: Simplify right side
    332,208x = 266,033,134,656
  5. Step 5: Solve for x
    x = 266,033,134,656/332,208
  6. Step 6: Final answer
    x = 800,802.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.