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Finding the Third Proportional to 410,295 and 621,105

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Solution

The third proportional to 410,295 and 621,105 is: 940,229.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,295 : 621,105 = 621,105 : x
  2. Step 2: Convert to fraction form
    410,295/621,105 = 621,105/x
  3. Step 3: Cross multiply
    410,295x = 621,105 × 621,105
  4. Step 4: Simplify right side
    410,295x = 385,771,421,025
  5. Step 5: Solve for x
    x = 385,771,421,025/410,295
  6. Step 6: Final answer
    x = 940,229.40

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.