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Finding the Third Proportional to 539,041 and 845,588

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Solution

The third proportional to 539,041 and 845,588 is: 1,326,465.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,041 : 845,588 = 845,588 : x
  2. Step 2: Convert to fraction form
    539,041/845,588 = 845,588/x
  3. Step 3: Cross multiply
    539,041x = 845,588 × 845,588
  4. Step 4: Simplify right side
    539,041x = 715,019,065,744
  5. Step 5: Solve for x
    x = 715,019,065,744/539,041
  6. Step 6: Final answer
    x = 1,326,465.08

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.