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Finding the Third Proportional to 257,334 and 527,148

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Solution

The third proportional to 257,334 and 527,148 is: 1,079,861.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,334 : 527,148 = 527,148 : x
  2. Step 2: Convert to fraction form
    257,334/527,148 = 527,148/x
  3. Step 3: Cross multiply
    257,334x = 527,148 × 527,148
  4. Step 4: Simplify right side
    257,334x = 277,885,013,904
  5. Step 5: Solve for x
    x = 277,885,013,904/257,334
  6. Step 6: Final answer
    x = 1,079,861.25

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.