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Finding the Third Proportional to 273,012 and 413,335

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Solution

The third proportional to 273,012 and 413,335 is: 625,781.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,012 : 413,335 = 413,335 : x
  2. Step 2: Convert to fraction form
    273,012/413,335 = 413,335/x
  3. Step 3: Cross multiply
    273,012x = 413,335 × 413,335
  4. Step 4: Simplify right side
    273,012x = 170,845,822,225
  5. Step 5: Solve for x
    x = 170,845,822,225/273,012
  6. Step 6: Final answer
    x = 625,781.37

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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.