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Finding the Third Proportional to 271,875.94 and 583,117.88

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Solution

The third proportional to 271,875.94 and 583,117.88 is: 1,250,667.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,875.94 : 583,117.88 = 583,117.88 : x
  2. Step 2: Convert to fraction form
    271,875.94/583,117.88 = 583,117.88/x
  3. Step 3: Cross multiply
    271,875.94x = 583,117.88 × 583,117.88
  4. Step 4: Simplify right side
    271,875.94x = 340,026,456,144.52
  5. Step 5: Solve for x
    x = 340,026,456,144.52/271,875.94
  6. Step 6: Final answer
    x = 1,250,667.71

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.