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Finding the Third Proportional to 434,958 and 635,653

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Solution

The third proportional to 434,958 and 635,653 is: 928,951.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,958 : 635,653 = 635,653 : x
  2. Step 2: Convert to fraction form
    434,958/635,653 = 635,653/x
  3. Step 3: Cross multiply
    434,958x = 635,653 × 635,653
  4. Step 4: Simplify right side
    434,958x = 404,054,736,409
  5. Step 5: Solve for x
    x = 404,054,736,409/434,958
  6. Step 6: Final answer
    x = 928,951.15

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