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Finding the Third Proportional to 413,050 and 603,717

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Solution

The third proportional to 413,050 and 603,717 is: 882,397.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,050 : 603,717 = 603,717 : x
  2. Step 2: Convert to fraction form
    413,050/603,717 = 603,717/x
  3. Step 3: Cross multiply
    413,050x = 603,717 × 603,717
  4. Step 4: Simplify right side
    413,050x = 364,474,216,089
  5. Step 5: Solve for x
    x = 364,474,216,089/413,050
  6. Step 6: Final answer
    x = 882,397.33

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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.