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Finding the Third Proportional to 272,056 and 592,296

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Solution

The third proportional to 272,056 and 592,296 is: 1,289,493.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,056 : 592,296 = 592,296 : x
  2. Step 2: Convert to fraction form
    272,056/592,296 = 592,296/x
  3. Step 3: Cross multiply
    272,056x = 592,296 × 592,296
  4. Step 4: Simplify right side
    272,056x = 350,814,551,616
  5. Step 5: Solve for x
    x = 350,814,551,616/272,056
  6. Step 6: Final answer
    x = 1,289,493.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.