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Finding the Third Proportional to 552,594 and 810,759

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Solution

The third proportional to 552,594 and 810,759 is: 1,189,535.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,594 : 810,759 = 810,759 : x
  2. Step 2: Convert to fraction form
    552,594/810,759 = 810,759/x
  3. Step 3: Cross multiply
    552,594x = 810,759 × 810,759
  4. Step 4: Simplify right side
    552,594x = 657,330,156,081
  5. Step 5: Solve for x
    x = 657,330,156,081/552,594
  6. Step 6: Final answer
    x = 1,189,535.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.