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Finding the Third Proportional to 334,564 and 476,931

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Solution

The third proportional to 334,564 and 476,931 is: 679,879.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,564 : 476,931 = 476,931 : x
  2. Step 2: Convert to fraction form
    334,564/476,931 = 476,931/x
  3. Step 3: Cross multiply
    334,564x = 476,931 × 476,931
  4. Step 4: Simplify right side
    334,564x = 227,463,178,761
  5. Step 5: Solve for x
    x = 227,463,178,761/334,564
  6. Step 6: Final answer
    x = 679,879.42

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.