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Finding the Third Proportional to 449,416.75 and 632,136.63

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Solution

The third proportional to 449,416.75 and 632,136.63 is: 889,145.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,416.75 : 632,136.63 = 632,136.63 : x
  2. Step 2: Convert to fraction form
    449,416.75/632,136.63 = 632,136.63/x
  3. Step 3: Cross multiply
    449,416.75x = 632,136.63 × 632,136.63
  4. Step 4: Simplify right side
    449,416.75x = 399,596,712,666.39
  5. Step 5: Solve for x
    x = 399,596,712,666.39/449,416.75
  6. Step 6: Final answer
    x = 889,145.13

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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.