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Finding the Third Proportional to 199,560 and 426,792

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Solution

The third proportional to 199,560 and 426,792 is: 912,765.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,560 : 426,792 = 426,792 : x
  2. Step 2: Convert to fraction form
    199,560/426,792 = 426,792/x
  3. Step 3: Cross multiply
    199,560x = 426,792 × 426,792
  4. Step 4: Simplify right side
    199,560x = 182,151,411,264
  5. Step 5: Solve for x
    x = 182,151,411,264/199,560
  6. Step 6: Final answer
    x = 912,765.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.