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Finding the Third Proportional to 332,564 and 727,336

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Solution

The third proportional to 332,564 and 727,336 is: 1,590,724.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,564 : 727,336 = 727,336 : x
  2. Step 2: Convert to fraction form
    332,564/727,336 = 727,336/x
  3. Step 3: Cross multiply
    332,564x = 727,336 × 727,336
  4. Step 4: Simplify right side
    332,564x = 529,017,656,896
  5. Step 5: Solve for x
    x = 529,017,656,896/332,564
  6. Step 6: Final answer
    x = 1,590,724.36

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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.