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Finding the Third Proportional to 575,317 and 862,543.50

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Solution

The third proportional to 575,317 and 862,543.50 is: 1,293,167.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,317 : 862,543.50 = 862,543.50 : x
  2. Step 2: Convert to fraction form
    575,317/862,543.50 = 862,543.50/x
  3. Step 3: Cross multiply
    575,317x = 862,543.50 × 862,543.50
  4. Step 4: Simplify right side
    575,317x = 743,981,289,392.25
  5. Step 5: Solve for x
    x = 743,981,289,392.25/575,317
  6. Step 6: Final answer
    x = 1,293,167.57

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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.