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Finding the Third Proportional to 428,064 and 635,934

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Solution

The third proportional to 428,064 and 635,934 is: 944,746.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,064 : 635,934 = 635,934 : x
  2. Step 2: Convert to fraction form
    428,064/635,934 = 635,934/x
  3. Step 3: Cross multiply
    428,064x = 635,934 × 635,934
  4. Step 4: Simplify right side
    428,064x = 404,412,052,356
  5. Step 5: Solve for x
    x = 404,412,052,356/428,064
  6. Step 6: Final answer
    x = 944,746.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.