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Finding the Third Proportional to 297,444 and 424,017

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Solution

The third proportional to 297,444 and 424,017 is: 604,451.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,444 : 424,017 = 424,017 : x
  2. Step 2: Convert to fraction form
    297,444/424,017 = 424,017/x
  3. Step 3: Cross multiply
    297,444x = 424,017 × 424,017
  4. Step 4: Simplify right side
    297,444x = 179,790,416,289
  5. Step 5: Solve for x
    x = 179,790,416,289/297,444
  6. Step 6: Final answer
    x = 604,451.31

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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.