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Finding the Third Proportional to 245,103.75 and 512,655.75

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Solution

The third proportional to 245,103.75 and 512,655.75 is: 1,072,263.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,103.75 : 512,655.75 = 512,655.75 : x
  2. Step 2: Convert to fraction form
    245,103.75/512,655.75 = 512,655.75/x
  3. Step 3: Cross multiply
    245,103.75x = 512,655.75 × 512,655.75
  4. Step 4: Simplify right side
    245,103.75x = 262,815,918,008.06
  5. Step 5: Solve for x
    x = 262,815,918,008.06/245,103.75
  6. Step 6: Final answer
    x = 1,072,263.96

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.