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Finding the Third Proportional to 350,334 and 725,580

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Solution

The third proportional to 350,334 and 725,580 is: 1,502,755.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,334 : 725,580 = 725,580 : x
  2. Step 2: Convert to fraction form
    350,334/725,580 = 725,580/x
  3. Step 3: Cross multiply
    350,334x = 725,580 × 725,580
  4. Step 4: Simplify right side
    350,334x = 526,466,336,400
  5. Step 5: Solve for x
    x = 526,466,336,400/350,334
  6. Step 6: Final answer
    x = 1,502,755.47

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.