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Finding the Third Proportional to 269,970 and 586,548

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Solution

The third proportional to 269,970 and 586,548 is: 1,274,358.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,970 : 586,548 = 586,548 : x
  2. Step 2: Convert to fraction form
    269,970/586,548 = 586,548/x
  3. Step 3: Cross multiply
    269,970x = 586,548 × 586,548
  4. Step 4: Simplify right side
    269,970x = 344,038,556,304
  5. Step 5: Solve for x
    x = 344,038,556,304/269,970
  6. Step 6: Final answer
    x = 1,274,358.47

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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.