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Finding the Third Proportional to 271,932 and 583,228.50

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Solution

The third proportional to 271,932 and 583,228.50 is: 1,250,884.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,932 : 583,228.50 = 583,228.50 : x
  2. Step 2: Convert to fraction form
    271,932/583,228.50 = 583,228.50/x
  3. Step 3: Cross multiply
    271,932x = 583,228.50 × 583,228.50
  4. Step 4: Simplify right side
    271,932x = 340,155,483,212.25
  5. Step 5: Solve for x
    x = 340,155,483,212.25/271,932
  6. Step 6: Final answer
    x = 1,250,884.35

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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.