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Finding the Third Proportional to 270,026 and 590,908

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Solution

The third proportional to 270,026 and 590,908 is: 1,293,106.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,026 : 590,908 = 590,908 : x
  2. Step 2: Convert to fraction form
    270,026/590,908 = 590,908/x
  3. Step 3: Cross multiply
    270,026x = 590,908 × 590,908
  4. Step 4: Simplify right side
    270,026x = 349,172,264,464
  5. Step 5: Solve for x
    x = 349,172,264,464/270,026
  6. Step 6: Final answer
    x = 1,293,106.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.