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Finding the Third Proportional to 264,514 and 402,307

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Solution

The third proportional to 264,514 and 402,307 is: 611,880.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,514 : 402,307 = 402,307 : x
  2. Step 2: Convert to fraction form
    264,514/402,307 = 402,307/x
  3. Step 3: Cross multiply
    264,514x = 402,307 × 402,307
  4. Step 4: Simplify right side
    264,514x = 161,850,922,249
  5. Step 5: Solve for x
    x = 161,850,922,249/264,514
  6. Step 6: Final answer
    x = 611,880.36

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.