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Finding the Third Proportional to 264,427 and 385,563

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Solution

The third proportional to 264,427 and 385,563 is: 562,192.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,427 : 385,563 = 385,563 : x
  2. Step 2: Convert to fraction form
    264,427/385,563 = 385,563/x
  3. Step 3: Cross multiply
    264,427x = 385,563 × 385,563
  4. Step 4: Simplify right side
    264,427x = 148,658,826,969
  5. Step 5: Solve for x
    x = 148,658,826,969/264,427
  6. Step 6: Final answer
    x = 562,192.31

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.