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Finding the Third Proportional to 449,526 and 632,334

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Solution

The third proportional to 449,526 and 632,334 is: 889,484.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,526 : 632,334 = 632,334 : x
  2. Step 2: Convert to fraction form
    449,526/632,334 = 632,334/x
  3. Step 3: Cross multiply
    449,526x = 632,334 × 632,334
  4. Step 4: Simplify right side
    449,526x = 399,846,287,556
  5. Step 5: Solve for x
    x = 399,846,287,556/449,526
  6. Step 6: Final answer
    x = 889,484.23

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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.