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Finding the Third Proportional to 269,490 and 586,791

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Solution

The third proportional to 269,490 and 586,791 is: 1,277,686.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,490 : 586,791 = 586,791 : x
  2. Step 2: Convert to fraction form
    269,490/586,791 = 586,791/x
  3. Step 3: Cross multiply
    269,490x = 586,791 × 586,791
  4. Step 4: Simplify right side
    269,490x = 344,323,677,681
  5. Step 5: Solve for x
    x = 344,323,677,681/269,490
  6. Step 6: Final answer
    x = 1,277,686.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.