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Finding the Third Proportional to 423,835 and 635,753

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Solution

The third proportional to 423,835 and 635,753 is: 953,630.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,835 : 635,753 = 635,753 : x
  2. Step 2: Convert to fraction form
    423,835/635,753 = 635,753/x
  3. Step 3: Cross multiply
    423,835x = 635,753 × 635,753
  4. Step 4: Simplify right side
    423,835x = 404,181,877,009
  5. Step 5: Solve for x
    x = 404,181,877,009/423,835
  6. Step 6: Final answer
    x = 953,630.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.