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Finding the Third Proportional to 404,966 and 640,435

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Solution

The third proportional to 404,966 and 640,435 is: 1,012,818.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,966 : 640,435 = 640,435 : x
  2. Step 2: Convert to fraction form
    404,966/640,435 = 640,435/x
  3. Step 3: Cross multiply
    404,966x = 640,435 × 640,435
  4. Step 4: Simplify right side
    404,966x = 410,156,989,225
  5. Step 5: Solve for x
    x = 410,156,989,225/404,966
  6. Step 6: Final answer
    x = 1,012,818.33

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.