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Finding the Third Proportional to 350,919 and 565,137

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Solution

The third proportional to 350,919 and 565,137 is: 910,124.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,919 : 565,137 = 565,137 : x
  2. Step 2: Convert to fraction form
    350,919/565,137 = 565,137/x
  3. Step 3: Cross multiply
    350,919x = 565,137 × 565,137
  4. Step 4: Simplify right side
    350,919x = 319,379,828,769
  5. Step 5: Solve for x
    x = 319,379,828,769/350,919
  6. Step 6: Final answer
    x = 910,124.07

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.