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Finding the Third Proportional to 403,818 and 622,576

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Solution

The third proportional to 403,818 and 622,576 is: 959,840.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,818 : 622,576 = 622,576 : x
  2. Step 2: Convert to fraction form
    403,818/622,576 = 622,576/x
  3. Step 3: Cross multiply
    403,818x = 622,576 × 622,576
  4. Step 4: Simplify right side
    403,818x = 387,600,875,776
  5. Step 5: Solve for x
    x = 387,600,875,776/403,818
  6. Step 6: Final answer
    x = 959,840.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.