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Finding the Third Proportional to 262,584 and 393,792

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Solution

The third proportional to 262,584 and 393,792 is: 590,562.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,584 : 393,792 = 393,792 : x
  2. Step 2: Convert to fraction form
    262,584/393,792 = 393,792/x
  3. Step 3: Cross multiply
    262,584x = 393,792 × 393,792
  4. Step 4: Simplify right side
    262,584x = 155,072,139,264
  5. Step 5: Solve for x
    x = 155,072,139,264/262,584
  6. Step 6: Final answer
    x = 590,562.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.