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Finding the Third Proportional to 272,040.50 and 414,079.50

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Solution

The third proportional to 272,040.50 and 414,079.50 is: 630,280.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,040.50 : 414,079.50 = 414,079.50 : x
  2. Step 2: Convert to fraction form
    272,040.50/414,079.50 = 414,079.50/x
  3. Step 3: Cross multiply
    272,040.50x = 414,079.50 × 414,079.50
  4. Step 4: Simplify right side
    272,040.50x = 171,461,832,320.25
  5. Step 5: Solve for x
    x = 171,461,832,320.25/272,040.50
  6. Step 6: Final answer
    x = 630,280.54

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.