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Finding the Third Proportional to 276,834 and 586,473

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Solution

The third proportional to 276,834 and 586,473 is: 1,242,443.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,834 : 586,473 = 586,473 : x
  2. Step 2: Convert to fraction form
    276,834/586,473 = 586,473/x
  3. Step 3: Cross multiply
    276,834x = 586,473 × 586,473
  4. Step 4: Simplify right side
    276,834x = 343,950,579,729
  5. Step 5: Solve for x
    x = 343,950,579,729/276,834
  6. Step 6: Final answer
    x = 1,242,443.41

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.