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Finding the Third Proportional to 552,583 and 825,460

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Solution

The third proportional to 552,583 and 825,460 is: 1,233,089.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,583 : 825,460 = 825,460 : x
  2. Step 2: Convert to fraction form
    552,583/825,460 = 825,460/x
  3. Step 3: Cross multiply
    552,583x = 825,460 × 825,460
  4. Step 4: Simplify right side
    552,583x = 681,384,211,600
  5. Step 5: Solve for x
    x = 681,384,211,600/552,583
  6. Step 6: Final answer
    x = 1,233,089.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.