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Finding the Third Proportional to 631,324 and 850,595

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Solution

The third proportional to 631,324 and 850,595 is: 1,146,023.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,324 : 850,595 = 850,595 : x
  2. Step 2: Convert to fraction form
    631,324/850,595 = 850,595/x
  3. Step 3: Cross multiply
    631,324x = 850,595 × 850,595
  4. Step 4: Simplify right side
    631,324x = 723,511,854,025
  5. Step 5: Solve for x
    x = 723,511,854,025/631,324
  6. Step 6: Final answer
    x = 1,146,023.05

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.