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Finding the Third Proportional to 283,401 and 598,792

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Solution

The third proportional to 283,401 and 598,792 is: 1,265,175.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,401 : 598,792 = 598,792 : x
  2. Step 2: Convert to fraction form
    283,401/598,792 = 598,792/x
  3. Step 3: Cross multiply
    283,401x = 598,792 × 598,792
  4. Step 4: Simplify right side
    283,401x = 358,551,859,264
  5. Step 5: Solve for x
    x = 358,551,859,264/283,401
  6. Step 6: Final answer
    x = 1,265,175.00

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.