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Finding the Third Proportional to 353,728 and 548,528

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Solution

The third proportional to 353,728 and 548,528 is: 850,605.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,728 : 548,528 = 548,528 : x
  2. Step 2: Convert to fraction form
    353,728/548,528 = 548,528/x
  3. Step 3: Cross multiply
    353,728x = 548,528 × 548,528
  4. Step 4: Simplify right side
    353,728x = 300,882,966,784
  5. Step 5: Solve for x
    x = 300,882,966,784/353,728
  6. Step 6: Final answer
    x = 850,605.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.