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Finding the Third Proportional to 512,152 and 775,304

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Solution

The third proportional to 512,152 and 775,304 is: 1,173,667.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,152 : 775,304 = 775,304 : x
  2. Step 2: Convert to fraction form
    512,152/775,304 = 775,304/x
  3. Step 3: Cross multiply
    512,152x = 775,304 × 775,304
  4. Step 4: Simplify right side
    512,152x = 601,096,292,416
  5. Step 5: Solve for x
    x = 601,096,292,416/512,152
  6. Step 6: Final answer
    x = 1,173,667.76

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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.