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Finding the Third Proportional to 444,464 and 635,124

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Solution

The third proportional to 444,464 and 635,124 is: 907,570.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,464 : 635,124 = 635,124 : x
  2. Step 2: Convert to fraction form
    444,464/635,124 = 635,124/x
  3. Step 3: Cross multiply
    444,464x = 635,124 × 635,124
  4. Step 4: Simplify right side
    444,464x = 403,382,495,376
  5. Step 5: Solve for x
    x = 403,382,495,376/444,464
  6. Step 6: Final answer
    x = 907,570.68

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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.