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Finding the Third Proportional to 512,110 and 775,237

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Solution

The third proportional to 512,110 and 775,237 is: 1,173,561.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,110 : 775,237 = 775,237 : x
  2. Step 2: Convert to fraction form
    512,110/775,237 = 775,237/x
  3. Step 3: Cross multiply
    512,110x = 775,237 × 775,237
  4. Step 4: Simplify right side
    512,110x = 600,992,406,169
  5. Step 5: Solve for x
    x = 600,992,406,169/512,110
  6. Step 6: Final answer
    x = 1,173,561.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.