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Finding the Third Proportional to 449,946.75 and 632,820

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Solution

The third proportional to 449,946.75 and 632,820 is: 890,018.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,946.75 : 632,820 = 632,820 : x
  2. Step 2: Convert to fraction form
    449,946.75/632,820 = 632,820/x
  3. Step 3: Cross multiply
    449,946.75x = 632,820 × 632,820
  4. Step 4: Simplify right side
    449,946.75x = 400,461,152,400
  5. Step 5: Solve for x
    x = 400,461,152,400/449,946.75
  6. Step 6: Final answer
    x = 890,018.99

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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.