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Finding the Third Proportional to 420,172 and 604,012

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Solution

The third proportional to 420,172 and 604,012 is: 868,288.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,172 : 604,012 = 604,012 : x
  2. Step 2: Convert to fraction form
    420,172/604,012 = 604,012/x
  3. Step 3: Cross multiply
    420,172x = 604,012 × 604,012
  4. Step 4: Simplify right side
    420,172x = 364,830,496,144
  5. Step 5: Solve for x
    x = 364,830,496,144/420,172
  6. Step 6: Final answer
    x = 868,288.45

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.