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Finding the Third Proportional to 253,714.50 and 557,648.25

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Solution

The third proportional to 253,714.50 and 557,648.25 is: 1,225,675.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,714.50 : 557,648.25 = 557,648.25 : x
  2. Step 2: Convert to fraction form
    253,714.50/557,648.25 = 557,648.25/x
  3. Step 3: Cross multiply
    253,714.50x = 557,648.25 × 557,648.25
  4. Step 4: Simplify right side
    253,714.50x = 310,971,570,728.06
  5. Step 5: Solve for x
    x = 310,971,570,728.06/253,714.50
  6. Step 6: Final answer
    x = 1,225,675.20

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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.