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Finding the Third Proportional to 262,252.50 and 546,645

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Solution

The third proportional to 262,252.50 and 546,645 is: 1,139,439.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,252.50 : 546,645 = 546,645 : x
  2. Step 2: Convert to fraction form
    262,252.50/546,645 = 546,645/x
  3. Step 3: Cross multiply
    262,252.50x = 546,645 × 546,645
  4. Step 4: Simplify right side
    262,252.50x = 298,820,756,025
  5. Step 5: Solve for x
    x = 298,820,756,025/262,252.50
  6. Step 6: Final answer
    x = 1,139,439.11

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.