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Finding the Third Proportional to 591,791.63 and 865,539

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Solution

The third proportional to 591,791.63 and 865,539 is: 1,265,914.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,791.63 : 865,539 = 865,539 : x
  2. Step 2: Convert to fraction form
    591,791.63/865,539 = 865,539/x
  3. Step 3: Cross multiply
    591,791.63x = 865,539 × 865,539
  4. Step 4: Simplify right side
    591,791.63x = 749,157,760,521
  5. Step 5: Solve for x
    x = 749,157,760,521/591,791.63
  6. Step 6: Final answer
    x = 1,265,914.77

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.