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Finding the Third Proportional to 291,762 and 675,846

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Solution

The third proportional to 291,762 and 675,846 is: 1,565,549.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,762 : 675,846 = 675,846 : x
  2. Step 2: Convert to fraction form
    291,762/675,846 = 675,846/x
  3. Step 3: Cross multiply
    291,762x = 675,846 × 675,846
  4. Step 4: Simplify right side
    291,762x = 456,767,815,716
  5. Step 5: Solve for x
    x = 456,767,815,716/291,762
  6. Step 6: Final answer
    x = 1,565,549.37

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.