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Finding the Third Proportional to 413,626 and 604,018

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Solution

The third proportional to 413,626 and 604,018 is: 882,047.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,626 : 604,018 = 604,018 : x
  2. Step 2: Convert to fraction form
    413,626/604,018 = 604,018/x
  3. Step 3: Cross multiply
    413,626x = 604,018 × 604,018
  4. Step 4: Simplify right side
    413,626x = 364,837,744,324
  5. Step 5: Solve for x
    x = 364,837,744,324/413,626
  6. Step 6: Final answer
    x = 882,047.42

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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.