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Finding the Third Proportional to 449,025 and 532,062

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Solution

The third proportional to 449,025 and 532,062 is: 630,454.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,025 : 532,062 = 532,062 : x
  2. Step 2: Convert to fraction form
    449,025/532,062 = 532,062/x
  3. Step 3: Cross multiply
    449,025x = 532,062 × 532,062
  4. Step 4: Simplify right side
    449,025x = 283,089,971,844
  5. Step 5: Solve for x
    x = 283,089,971,844/449,025
  6. Step 6: Final answer
    x = 630,454.81

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.