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Finding the Third Proportional to 293,587 and 563,846

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Solution

The third proportional to 293,587 and 563,846 is: 1,082,889.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,587 : 563,846 = 563,846 : x
  2. Step 2: Convert to fraction form
    293,587/563,846 = 563,846/x
  3. Step 3: Cross multiply
    293,587x = 563,846 × 563,846
  4. Step 4: Simplify right side
    293,587x = 317,922,311,716
  5. Step 5: Solve for x
    x = 317,922,311,716/293,587
  6. Step 6: Final answer
    x = 1,082,889.61

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.