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Finding the Third Proportional to 406,481 and 603,826

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Solution

The third proportional to 406,481 and 603,826 is: 896,981.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,481 : 603,826 = 603,826 : x
  2. Step 2: Convert to fraction form
    406,481/603,826 = 603,826/x
  3. Step 3: Cross multiply
    406,481x = 603,826 × 603,826
  4. Step 4: Simplify right side
    406,481x = 364,605,838,276
  5. Step 5: Solve for x
    x = 364,605,838,276/406,481
  6. Step 6: Final answer
    x = 896,981.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.