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Finding the Third Proportional to 416,139.19 and 624,209.63

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Solution

The third proportional to 416,139.19 and 624,209.63 is: 936,315.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,139.19 : 624,209.63 = 624,209.63 : x
  2. Step 2: Convert to fraction form
    416,139.19/624,209.63 = 624,209.63/x
  3. Step 3: Cross multiply
    416,139.19x = 624,209.63 × 624,209.63
  4. Step 4: Simplify right side
    416,139.19x = 389,637,655,942.64
  5. Step 5: Solve for x
    x = 389,637,655,942.64/416,139.19
  6. Step 6: Final answer
    x = 936,315.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.