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Finding the Third Proportional to 420,230 and 604,087

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Solution

The third proportional to 420,230 and 604,087 is: 868,384.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,230 : 604,087 = 604,087 : x
  2. Step 2: Convert to fraction form
    420,230/604,087 = 604,087/x
  3. Step 3: Cross multiply
    420,230x = 604,087 × 604,087
  4. Step 4: Simplify right side
    420,230x = 364,921,103,569
  5. Step 5: Solve for x
    x = 364,921,103,569/420,230
  6. Step 6: Final answer
    x = 868,384.23

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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.