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Finding the Third Proportional to 272,254.50 and 412,060.50

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Solution

The third proportional to 272,254.50 and 412,060.50 is: 623,658.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,254.50 : 412,060.50 = 412,060.50 : x
  2. Step 2: Convert to fraction form
    272,254.50/412,060.50 = 412,060.50/x
  3. Step 3: Cross multiply
    272,254.50x = 412,060.50 × 412,060.50
  4. Step 4: Simplify right side
    272,254.50x = 169,793,855,660.25
  5. Step 5: Solve for x
    x = 169,793,855,660.25/272,254.50
  6. Step 6: Final answer
    x = 623,658.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.