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Finding the Third Proportional to 449,929.69 and 632,885.06

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Solution

The third proportional to 449,929.69 and 632,885.06 is: 890,235.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,929.69 : 632,885.06 = 632,885.06 : x
  2. Step 2: Convert to fraction form
    449,929.69/632,885.06 = 632,885.06/x
  3. Step 3: Cross multiply
    449,929.69x = 632,885.06 × 632,885.06
  4. Step 4: Simplify right side
    449,929.69x = 400,543,502,335.63
  5. Step 5: Solve for x
    x = 400,543,502,335.63/449,929.69
  6. Step 6: Final answer
    x = 890,235.77

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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.