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Finding the Third Proportional to 284,077 and 607,554

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Solution

The third proportional to 284,077 and 607,554 is: 1,299,372.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,077 : 607,554 = 607,554 : x
  2. Step 2: Convert to fraction form
    284,077/607,554 = 607,554/x
  3. Step 3: Cross multiply
    284,077x = 607,554 × 607,554
  4. Step 4: Simplify right side
    284,077x = 369,121,862,916
  5. Step 5: Solve for x
    x = 369,121,862,916/284,077
  6. Step 6: Final answer
    x = 1,299,372.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.