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Finding the Third Proportional to 408,271.50 and 633,720

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Solution

The third proportional to 408,271.50 and 633,720 is: 983,661.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,271.50 : 633,720 = 633,720 : x
  2. Step 2: Convert to fraction form
    408,271.50/633,720 = 633,720/x
  3. Step 3: Cross multiply
    408,271.50x = 633,720 × 633,720
  4. Step 4: Simplify right side
    408,271.50x = 401,601,038,400
  5. Step 5: Solve for x
    x = 401,601,038,400/408,271.50
  6. Step 6: Final answer
    x = 983,661.70

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.