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Finding the Third Proportional to 284,598 and 595,350

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Solution

The third proportional to 284,598 and 595,350 is: 1,245,411.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,598 : 595,350 = 595,350 : x
  2. Step 2: Convert to fraction form
    284,598/595,350 = 595,350/x
  3. Step 3: Cross multiply
    284,598x = 595,350 × 595,350
  4. Step 4: Simplify right side
    284,598x = 354,441,622,500
  5. Step 5: Solve for x
    x = 354,441,622,500/284,598
  6. Step 6: Final answer
    x = 1,245,411.50

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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.