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Finding the Third Proportional to 631,998 and 894,255

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Solution

The third proportional to 631,998 and 894,255 is: 1,265,339.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,998 : 894,255 = 894,255 : x
  2. Step 2: Convert to fraction form
    631,998/894,255 = 894,255/x
  3. Step 3: Cross multiply
    631,998x = 894,255 × 894,255
  4. Step 4: Simplify right side
    631,998x = 799,692,005,025
  5. Step 5: Solve for x
    x = 799,692,005,025/631,998
  6. Step 6: Final answer
    x = 1,265,339.46

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.