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Finding the Third Proportional to 592,320 and 1,279,208

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Solution

The third proportional to 592,320 and 1,279,208 is: 2,762,650.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,320 : 1,279,208 = 1,279,208 : x
  2. Step 2: Convert to fraction form
    592,320/1,279,208 = 1,279,208/x
  3. Step 3: Cross multiply
    592,320x = 1,279,208 × 1,279,208
  4. Step 4: Simplify right side
    592,320x = 1,636,373,107,264
  5. Step 5: Solve for x
    x = 1,636,373,107,264/592,320
  6. Step 6: Final answer
    x = 2,762,650.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.