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Finding the Third Proportional to 269,819 and 586,294

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Solution

The third proportional to 269,819 and 586,294 is: 1,273,967.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,819 : 586,294 = 586,294 : x
  2. Step 2: Convert to fraction form
    269,819/586,294 = 586,294/x
  3. Step 3: Cross multiply
    269,819x = 586,294 × 586,294
  4. Step 4: Simplify right side
    269,819x = 343,740,654,436
  5. Step 5: Solve for x
    x = 343,740,654,436/269,819
  6. Step 6: Final answer
    x = 1,273,967.57

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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.