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Finding the Third Proportional to 387,748.27 and 852,037.26

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Solution

The third proportional to 387,748.27 and 852,037.26 is: 1,872,264.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,748.27 : 852,037.26 = 852,037.26 : x
  2. Step 2: Convert to fraction form
    387,748.27/852,037.26 = 852,037.26/x
  3. Step 3: Cross multiply
    387,748.27x = 852,037.26 × 852,037.26
  4. Step 4: Simplify right side
    387,748.27x = 725,967,492,028.91
  5. Step 5: Solve for x
    x = 725,967,492,028.91/387,748.27
  6. Step 6: Final answer
    x = 1,872,264.96

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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.