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Finding the Third Proportional to 272,040 and 408,061

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Solution

The third proportional to 272,040 and 408,061 is: 612,093.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,040 : 408,061 = 408,061 : x
  2. Step 2: Convert to fraction form
    272,040/408,061 = 408,061/x
  3. Step 3: Cross multiply
    272,040x = 408,061 × 408,061
  4. Step 4: Simplify right side
    272,040x = 166,513,779,721
  5. Step 5: Solve for x
    x = 166,513,779,721/272,040
  6. Step 6: Final answer
    x = 612,093.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.