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Finding the Third Proportional to 375,662 and 563,655

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Solution

The third proportional to 375,662 and 563,655 is: 845,725.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,662 : 563,655 = 563,655 : x
  2. Step 2: Convert to fraction form
    375,662/563,655 = 563,655/x
  3. Step 3: Cross multiply
    375,662x = 563,655 × 563,655
  4. Step 4: Simplify right side
    375,662x = 317,706,959,025
  5. Step 5: Solve for x
    x = 317,706,959,025/375,662
  6. Step 6: Final answer
    x = 845,725.57

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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.