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Finding the Third Proportional to 406,501.50 and 603,859.13

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Solution

The third proportional to 406,501.50 and 603,859.13 is: 897,034.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,501.50 : 603,859.13 = 603,859.13 : x
  2. Step 2: Convert to fraction form
    406,501.50/603,859.13 = 603,859.13/x
  3. Step 3: Cross multiply
    406,501.50x = 603,859.13 × 603,859.13
  4. Step 4: Simplify right side
    406,501.50x = 364,645,842,845.77
  5. Step 5: Solve for x
    x = 364,645,842,845.77/406,501.50
  6. Step 6: Final answer
    x = 897,034.43

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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.