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Finding the Third Proportional to 452,747.50 and 942,701

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Solution

The third proportional to 452,747.50 and 942,701 is: 1,962,871.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,747.50 : 942,701 = 942,701 : x
  2. Step 2: Convert to fraction form
    452,747.50/942,701 = 942,701/x
  3. Step 3: Cross multiply
    452,747.50x = 942,701 × 942,701
  4. Step 4: Simplify right side
    452,747.50x = 888,685,175,401
  5. Step 5: Solve for x
    x = 888,685,175,401/452,747.50
  6. Step 6: Final answer
    x = 1,962,871.52

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.