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Finding the Third Proportional to 449,970.75 and 632,853

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Solution

The third proportional to 449,970.75 and 632,853 is: 890,064.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,970.75 : 632,853 = 632,853 : x
  2. Step 2: Convert to fraction form
    449,970.75/632,853 = 632,853/x
  3. Step 3: Cross multiply
    449,970.75x = 632,853 × 632,853
  4. Step 4: Simplify right side
    449,970.75x = 400,502,919,609
  5. Step 5: Solve for x
    x = 400,502,919,609/449,970.75
  6. Step 6: Final answer
    x = 890,064.34

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