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Finding the Third Proportional to 273,562 and 586,052

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Solution

The third proportional to 273,562 and 586,052 is: 1,255,499.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,562 : 586,052 = 586,052 : x
  2. Step 2: Convert to fraction form
    273,562/586,052 = 586,052/x
  3. Step 3: Cross multiply
    273,562x = 586,052 × 586,052
  4. Step 4: Simplify right side
    273,562x = 343,456,946,704
  5. Step 5: Solve for x
    x = 343,456,946,704/273,562
  6. Step 6: Final answer
    x = 1,255,499.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.