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Finding the Third Proportional to 272,176 and 577,296

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Solution

The third proportional to 272,176 and 577,296 is: 1,224,467.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,176 : 577,296 = 577,296 : x
  2. Step 2: Convert to fraction form
    272,176/577,296 = 577,296/x
  3. Step 3: Cross multiply
    272,176x = 577,296 × 577,296
  4. Step 4: Simplify right side
    272,176x = 333,270,671,616
  5. Step 5: Solve for x
    x = 333,270,671,616/272,176
  6. Step 6: Final answer
    x = 1,224,467.52

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.