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Finding the Third Proportional to 575,317.50 and 862,544.25

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Solution

The third proportional to 575,317.50 and 862,544.25 is: 1,293,168.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,317.50 : 862,544.25 = 862,544.25 : x
  2. Step 2: Convert to fraction form
    575,317.50/862,544.25 = 862,544.25/x
  3. Step 3: Cross multiply
    575,317.50x = 862,544.25 × 862,544.25
  4. Step 4: Simplify right side
    575,317.50x = 743,982,583,208.06
  5. Step 5: Solve for x
    x = 743,982,583,208.06/575,317.50
  6. Step 6: Final answer
    x = 1,293,168.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.