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Finding the Third Proportional to 452,714 and 679,125

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Solution

The third proportional to 452,714 and 679,125 is: 1,018,768.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,714 : 679,125 = 679,125 : x
  2. Step 2: Convert to fraction form
    452,714/679,125 = 679,125/x
  3. Step 3: Cross multiply
    452,714x = 679,125 × 679,125
  4. Step 4: Simplify right side
    452,714x = 461,210,765,625
  5. Step 5: Solve for x
    x = 461,210,765,625/452,714
  6. Step 6: Final answer
    x = 1,018,768.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.