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Finding the Third Proportional to 559,548 and 843,997.50

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Solution

The third proportional to 559,548 and 843,997.50 is: 1,273,048.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,548 : 843,997.50 = 843,997.50 : x
  2. Step 2: Convert to fraction form
    559,548/843,997.50 = 843,997.50/x
  3. Step 3: Cross multiply
    559,548x = 843,997.50 × 843,997.50
  4. Step 4: Simplify right side
    559,548x = 712,331,780,006.25
  5. Step 5: Solve for x
    x = 712,331,780,006.25/559,548
  6. Step 6: Final answer
    x = 1,273,048.57

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Why These Related Problems?

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