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Finding the Third Proportional to 271,890 and 583,159.50

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Solution

The third proportional to 271,890 and 583,159.50 is: 1,250,781.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,890 : 583,159.50 = 583,159.50 : x
  2. Step 2: Convert to fraction form
    271,890/583,159.50 = 583,159.50/x
  3. Step 3: Cross multiply
    271,890x = 583,159.50 × 583,159.50
  4. Step 4: Simplify right side
    271,890x = 340,075,002,440.25
  5. Step 5: Solve for x
    x = 340,075,002,440.25/271,890
  6. Step 6: Final answer
    x = 1,250,781.58

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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.