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Finding the Third Proportional to 332,550 and 727,308

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Solution

The third proportional to 332,550 and 727,308 is: 1,590,668.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,550 : 727,308 = 727,308 : x
  2. Step 2: Convert to fraction form
    332,550/727,308 = 727,308/x
  3. Step 3: Cross multiply
    332,550x = 727,308 × 727,308
  4. Step 4: Simplify right side
    332,550x = 528,976,926,864
  5. Step 5: Solve for x
    x = 528,976,926,864/332,550
  6. Step 6: Final answer
    x = 1,590,668.85

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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.