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Finding the Third Proportional to 284,145 and 441,157.50

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Solution

The third proportional to 284,145 and 441,157.50 is: 684,931.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,145 : 441,157.50 = 441,157.50 : x
  2. Step 2: Convert to fraction form
    284,145/441,157.50 = 441,157.50/x
  3. Step 3: Cross multiply
    284,145x = 441,157.50 × 441,157.50
  4. Step 4: Simplify right side
    284,145x = 194,619,939,806.25
  5. Step 5: Solve for x
    x = 194,619,939,806.25/284,145
  6. Step 6: Final answer
    x = 684,931.78

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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.