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Finding the Third Proportional to 434,952 and 635,644

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Solution

The third proportional to 434,952 and 635,644 is: 928,937.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,952 : 635,644 = 635,644 : x
  2. Step 2: Convert to fraction form
    434,952/635,644 = 635,644/x
  3. Step 3: Cross multiply
    434,952x = 635,644 × 635,644
  4. Step 4: Simplify right side
    434,952x = 404,043,294,736
  5. Step 5: Solve for x
    x = 404,043,294,736/434,952
  6. Step 6: Final answer
    x = 928,937.66

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.