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Finding the Third Proportional to 539,644.50 and 833,802.75

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Solution

The third proportional to 539,644.50 and 833,802.75 is: 1,288,305.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,644.50 : 833,802.75 = 833,802.75 : x
  2. Step 2: Convert to fraction form
    539,644.50/833,802.75 = 833,802.75/x
  3. Step 3: Cross multiply
    539,644.50x = 833,802.75 × 833,802.75
  4. Step 4: Simplify right side
    539,644.50x = 695,227,025,907.56
  5. Step 5: Solve for x
    x = 695,227,025,907.56/539,644.50
  6. Step 6: Final answer
    x = 1,288,305.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.