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Finding the Third Proportional to 272,002.50 and 584,145

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Solution

The third proportional to 272,002.50 and 584,145 is: 1,254,493.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,002.50 : 584,145 = 584,145 : x
  2. Step 2: Convert to fraction form
    272,002.50/584,145 = 584,145/x
  3. Step 3: Cross multiply
    272,002.50x = 584,145 × 584,145
  4. Step 4: Simplify right side
    272,002.50x = 341,225,381,025
  5. Step 5: Solve for x
    x = 341,225,381,025/272,002.50
  6. Step 6: Final answer
    x = 1,254,493.55

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.