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Finding the Third Proportional to 276,837.75 and 395,875.13

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Solution

The third proportional to 276,837.75 and 395,875.13 is: 566,097.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,837.75 : 395,875.13 = 395,875.13 : x
  2. Step 2: Convert to fraction form
    276,837.75/395,875.13 = 395,875.13/x
  3. Step 3: Cross multiply
    276,837.75x = 395,875.13 × 395,875.13
  4. Step 4: Simplify right side
    276,837.75x = 156,717,114,593.77
  5. Step 5: Solve for x
    x = 156,717,114,593.77/276,837.75
  6. Step 6: Final answer
    x = 566,097.34

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.