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Finding the Third Proportional to 375,640 and 563,351

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Solution

The third proportional to 375,640 and 563,351 is: 844,863.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,640 : 563,351 = 563,351 : x
  2. Step 2: Convert to fraction form
    375,640/563,351 = 563,351/x
  3. Step 3: Cross multiply
    375,640x = 563,351 × 563,351
  4. Step 4: Simplify right side
    375,640x = 317,364,349,201
  5. Step 5: Solve for x
    x = 317,364,349,201/375,640
  6. Step 6: Final answer
    x = 844,863.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.