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Finding the Third Proportional to 272,562 and 411,300

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Solution

The third proportional to 272,562 and 411,300 is: 620,657.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,562 : 411,300 = 411,300 : x
  2. Step 2: Convert to fraction form
    272,562/411,300 = 411,300/x
  3. Step 3: Cross multiply
    272,562x = 411,300 × 411,300
  4. Step 4: Simplify right side
    272,562x = 169,167,690,000
  5. Step 5: Solve for x
    x = 169,167,690,000/272,562
  6. Step 6: Final answer
    x = 620,657.65

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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.