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Finding the Third Proportional to 284,564 and 426,100

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Solution

The third proportional to 284,564 and 426,100 is: 638,032.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,564 : 426,100 = 426,100 : x
  2. Step 2: Convert to fraction form
    284,564/426,100 = 426,100/x
  3. Step 3: Cross multiply
    284,564x = 426,100 × 426,100
  4. Step 4: Simplify right side
    284,564x = 181,561,210,000
  5. Step 5: Solve for x
    x = 181,561,210,000/284,564
  6. Step 6: Final answer
    x = 638,032.96

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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.