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Finding the Third Proportional to 403,961 and 626,355

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Solution

The third proportional to 403,961 and 626,355 is: 971,184.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,961 : 626,355 = 626,355 : x
  2. Step 2: Convert to fraction form
    403,961/626,355 = 626,355/x
  3. Step 3: Cross multiply
    403,961x = 626,355 × 626,355
  4. Step 4: Simplify right side
    403,961x = 392,320,586,025
  5. Step 5: Solve for x
    x = 392,320,586,025/403,961
  6. Step 6: Final answer
    x = 971,184.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.