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Finding the Third Proportional to 270,223 and 586,598

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Solution

The third proportional to 270,223 and 586,598 is: 1,273,382.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,223 : 586,598 = 586,598 : x
  2. Step 2: Convert to fraction form
    270,223/586,598 = 586,598/x
  3. Step 3: Cross multiply
    270,223x = 586,598 × 586,598
  4. Step 4: Simplify right side
    270,223x = 344,097,213,604
  5. Step 5: Solve for x
    x = 344,097,213,604/270,223
  6. Step 6: Final answer
    x = 1,273,382.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.