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Finding the Third Proportional to 436,218 and 656,514

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Solution

The third proportional to 436,218 and 656,514 is: 988,062.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,218 : 656,514 = 656,514 : x
  2. Step 2: Convert to fraction form
    436,218/656,514 = 656,514/x
  3. Step 3: Cross multiply
    436,218x = 656,514 × 656,514
  4. Step 4: Simplify right side
    436,218x = 431,010,632,196
  5. Step 5: Solve for x
    x = 431,010,632,196/436,218
  6. Step 6: Final answer
    x = 988,062.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.