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Finding the Third Proportional to 516,307.50 and 1,118,400.75

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Solution

The third proportional to 516,307.50 and 1,118,400.75 is: 2,422,626.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,307.50 : 1,118,400.75 = 1,118,400.75 : x
  2. Step 2: Convert to fraction form
    516,307.50/1,118,400.75 = 1,118,400.75/x
  3. Step 3: Cross multiply
    516,307.50x = 1,118,400.75 × 1,118,400.75
  4. Step 4: Simplify right side
    516,307.50x = 1,250,820,237,600.56
  5. Step 5: Solve for x
    x = 1,250,820,237,600.56/516,307.50
  6. Step 6: Final answer
    x = 2,422,626.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.