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Finding the Third Proportional to 539,193.38 and 845,762.06

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Solution

The third proportional to 539,193.38 and 845,762.06 is: 1,326,636.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,193.38 : 845,762.06 = 845,762.06 : x
  2. Step 2: Convert to fraction form
    539,193.38/845,762.06 = 845,762.06/x
  3. Step 3: Cross multiply
    539,193.38x = 845,762.06 × 845,762.06
  4. Step 4: Simplify right side
    539,193.38x = 715,313,466,364.25
  5. Step 5: Solve for x
    x = 715,313,466,364.25/539,193.38
  6. Step 6: Final answer
    x = 1,326,636.23

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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.