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Finding the Third Proportional to 284,544 and 610,560

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Solution

The third proportional to 284,544 and 610,560 is: 1,310,108.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,544 : 610,560 = 610,560 : x
  2. Step 2: Convert to fraction form
    284,544/610,560 = 610,560/x
  3. Step 3: Cross multiply
    284,544x = 610,560 × 610,560
  4. Step 4: Simplify right side
    284,544x = 372,783,513,600
  5. Step 5: Solve for x
    x = 372,783,513,600/284,544
  6. Step 6: Final answer
    x = 1,310,108.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.