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Finding the Third Proportional to 273,334 and 586,804

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Solution

The third proportional to 273,334 and 586,804 is: 1,259,773.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,334 : 586,804 = 586,804 : x
  2. Step 2: Convert to fraction form
    273,334/586,804 = 586,804/x
  3. Step 3: Cross multiply
    273,334x = 586,804 × 586,804
  4. Step 4: Simplify right side
    273,334x = 344,338,934,416
  5. Step 5: Solve for x
    x = 344,338,934,416/273,334
  6. Step 6: Final answer
    x = 1,259,773.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.