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Finding the Third Proportional to 250,725 and 529,125

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Solution

The third proportional to 250,725 and 529,125 is: 1,116,654.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,725 : 529,125 = 529,125 : x
  2. Step 2: Convert to fraction form
    250,725/529,125 = 529,125/x
  3. Step 3: Cross multiply
    250,725x = 529,125 × 529,125
  4. Step 4: Simplify right side
    250,725x = 279,973,265,625
  5. Step 5: Solve for x
    x = 279,973,265,625/250,725
  6. Step 6: Final answer
    x = 1,116,654.76

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.