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Finding the Third Proportional to 273,443.34 and 413,943.14

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Solution

The third proportional to 273,443.34 and 413,943.14 is: 626,634.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,443.34 : 413,943.14 = 413,943.14 : x
  2. Step 2: Convert to fraction form
    273,443.34/413,943.14 = 413,943.14/x
  3. Step 3: Cross multiply
    273,443.34x = 413,943.14 × 413,943.14
  4. Step 4: Simplify right side
    273,443.34x = 171,348,926,095.93
  5. Step 5: Solve for x
    x = 171,348,926,095.93/273,443.34
  6. Step 6: Final answer
    x = 626,634.11

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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.