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Finding the Third Proportional to 552,588 and 825,465

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Solution

The third proportional to 552,588 and 825,465 is: 1,233,093.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,588 : 825,465 = 825,465 : x
  2. Step 2: Convert to fraction form
    552,588/825,465 = 825,465/x
  3. Step 3: Cross multiply
    552,588x = 825,465 × 825,465
  4. Step 4: Simplify right side
    552,588x = 681,392,466,225
  5. Step 5: Solve for x
    x = 681,392,466,225/552,588
  6. Step 6: Final answer
    x = 1,233,093.13

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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.