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Finding the Third Proportional to 332,555 and 727,221

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Solution

The third proportional to 332,555 and 727,221 is: 1,590,264.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,555 : 727,221 = 727,221 : x
  2. Step 2: Convert to fraction form
    332,555/727,221 = 727,221/x
  3. Step 3: Cross multiply
    332,555x = 727,221 × 727,221
  4. Step 4: Simplify right side
    332,555x = 528,850,382,841
  5. Step 5: Solve for x
    x = 528,850,382,841/332,555
  6. Step 6: Final answer
    x = 1,590,264.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.