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Finding the Third Proportional to 375,282 and 765,846

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Solution

The third proportional to 375,282 and 765,846 is: 1,562,878.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,282 : 765,846 = 765,846 : x
  2. Step 2: Convert to fraction form
    375,282/765,846 = 765,846/x
  3. Step 3: Cross multiply
    375,282x = 765,846 × 765,846
  4. Step 4: Simplify right side
    375,282x = 586,520,095,716
  5. Step 5: Solve for x
    x = 586,520,095,716/375,282
  6. Step 6: Final answer
    x = 1,562,878.30

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.