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Finding the Third Proportional to 424,244 and 594,654

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Solution

The third proportional to 424,244 and 594,654 is: 833,514.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,244 : 594,654 = 594,654 : x
  2. Step 2: Convert to fraction form
    424,244/594,654 = 594,654/x
  3. Step 3: Cross multiply
    424,244x = 594,654 × 594,654
  4. Step 4: Simplify right side
    424,244x = 353,613,379,716
  5. Step 5: Solve for x
    x = 353,613,379,716/424,244
  6. Step 6: Final answer
    x = 833,514.16

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.