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Finding the Third Proportional to 552,594 and 825,480

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Solution

The third proportional to 552,594 and 825,480 is: 1,233,124.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,594 : 825,480 = 825,480 : x
  2. Step 2: Convert to fraction form
    552,594/825,480 = 825,480/x
  3. Step 3: Cross multiply
    552,594x = 825,480 × 825,480
  4. Step 4: Simplify right side
    552,594x = 681,417,230,400
  5. Step 5: Solve for x
    x = 681,417,230,400/552,594
  6. Step 6: Final answer
    x = 1,233,124.56

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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.