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Finding the Third Proportional to 414,711 and 634,095

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Solution

The third proportional to 414,711 and 634,095 is: 969,534.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,711 : 634,095 = 634,095 : x
  2. Step 2: Convert to fraction form
    414,711/634,095 = 634,095/x
  3. Step 3: Cross multiply
    414,711x = 634,095 × 634,095
  4. Step 4: Simplify right side
    414,711x = 402,076,469,025
  5. Step 5: Solve for x
    x = 402,076,469,025/414,711
  6. Step 6: Final answer
    x = 969,534.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.