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Finding the Third Proportional to 350,712 and 755,508

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Solution

The third proportional to 350,712 and 755,508 is: 1,627,524.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,712 : 755,508 = 755,508 : x
  2. Step 2: Convert to fraction form
    350,712/755,508 = 755,508/x
  3. Step 3: Cross multiply
    350,712x = 755,508 × 755,508
  4. Step 4: Simplify right side
    350,712x = 570,792,338,064
  5. Step 5: Solve for x
    x = 570,792,338,064/350,712
  6. Step 6: Final answer
    x = 1,627,524.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.