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Finding the Third Proportional to 253,752 and 557,714

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Solution

The third proportional to 253,752 and 557,714 is: 1,225,783.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,752 : 557,714 = 557,714 : x
  2. Step 2: Convert to fraction form
    253,752/557,714 = 557,714/x
  3. Step 3: Cross multiply
    253,752x = 557,714 × 557,714
  4. Step 4: Simplify right side
    253,752x = 311,044,905,796
  5. Step 5: Solve for x
    x = 311,044,905,796/253,752
  6. Step 6: Final answer
    x = 1,225,783.07

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.