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Finding the Third Proportional to 270,068 and 590,964

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Solution

The third proportional to 270,068 and 590,964 is: 1,293,150.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,068 : 590,964 = 590,964 : x
  2. Step 2: Convert to fraction form
    270,068/590,964 = 590,964/x
  3. Step 3: Cross multiply
    270,068x = 590,964 × 590,964
  4. Step 4: Simplify right side
    270,068x = 349,238,449,296
  5. Step 5: Solve for x
    x = 349,238,449,296/270,068
  6. Step 6: Final answer
    x = 1,293,150.06

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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.