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Finding the Third Proportional to 419,247 and 592,663.50

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Solution

The third proportional to 419,247 and 592,663.50 is: 837,811.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,247 : 592,663.50 = 592,663.50 : x
  2. Step 2: Convert to fraction form
    419,247/592,663.50 = 592,663.50/x
  3. Step 3: Cross multiply
    419,247x = 592,663.50 × 592,663.50
  4. Step 4: Simplify right side
    419,247x = 351,250,024,232.25
  5. Step 5: Solve for x
    x = 351,250,024,232.25/419,247
  6. Step 6: Final answer
    x = 837,811.66

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.