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Finding the Third Proportional to 413,046 and 603,713

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Solution

The third proportional to 413,046 and 603,713 is: 882,394.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,046 : 603,713 = 603,713 : x
  2. Step 2: Convert to fraction form
    413,046/603,713 = 603,713/x
  3. Step 3: Cross multiply
    413,046x = 603,713 × 603,713
  4. Step 4: Simplify right side
    413,046x = 364,469,386,369
  5. Step 5: Solve for x
    x = 364,469,386,369/413,046
  6. Step 6: Final answer
    x = 882,394.18

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Why These Related Problems?

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