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Finding the Third Proportional to 284,530 and 595,363

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Solution

The third proportional to 284,530 and 595,363 is: 1,245,763.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,530 : 595,363 = 595,363 : x
  2. Step 2: Convert to fraction form
    284,530/595,363 = 595,363/x
  3. Step 3: Cross multiply
    284,530x = 595,363 × 595,363
  4. Step 4: Simplify right side
    284,530x = 354,457,101,769
  5. Step 5: Solve for x
    x = 354,457,101,769/284,530
  6. Step 6: Final answer
    x = 1,245,763.55

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.