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Finding the Third Proportional to 440,523 and 635,989.50

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Solution

The third proportional to 440,523 and 635,989.50 is: 918,187.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,523 : 635,989.50 = 635,989.50 : x
  2. Step 2: Convert to fraction form
    440,523/635,989.50 = 635,989.50/x
  3. Step 3: Cross multiply
    440,523x = 635,989.50 × 635,989.50
  4. Step 4: Simplify right side
    440,523x = 404,482,644,110.25
  5. Step 5: Solve for x
    x = 404,482,644,110.25/440,523
  6. Step 6: Final answer
    x = 918,187.35

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.