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Finding the Third Proportional to 512,152 and 679,614

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Solution

The third proportional to 512,152 and 679,614 is: 901,832.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,152 : 679,614 = 679,614 : x
  2. Step 2: Convert to fraction form
    512,152/679,614 = 679,614/x
  3. Step 3: Cross multiply
    512,152x = 679,614 × 679,614
  4. Step 4: Simplify right side
    512,152x = 461,875,188,996
  5. Step 5: Solve for x
    x = 461,875,188,996/512,152
  6. Step 6: Final answer
    x = 901,832.25

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.