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Finding the Third Proportional to 284,553 and 428,707.69

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Solution

The third proportional to 284,553 and 428,707.69 is: 645,891.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,553 : 428,707.69 = 428,707.69 : x
  2. Step 2: Convert to fraction form
    284,553/428,707.69 = 428,707.69/x
  3. Step 3: Cross multiply
    284,553x = 428,707.69 × 428,707.69
  4. Step 4: Simplify right side
    284,553x = 183,790,281,321.60
  5. Step 5: Solve for x
    x = 183,790,281,321.60/284,553
  6. Step 6: Final answer
    x = 645,891.21

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.