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Finding the Third Proportional to 473,967 and 987,313.50

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Solution

The third proportional to 473,967 and 987,313.50 is: 2,056,657.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,967 : 987,313.50 = 987,313.50 : x
  2. Step 2: Convert to fraction form
    473,967/987,313.50 = 987,313.50/x
  3. Step 3: Cross multiply
    473,967x = 987,313.50 × 987,313.50
  4. Step 4: Simplify right side
    473,967x = 974,787,947,282.25
  5. Step 5: Solve for x
    x = 974,787,947,282.25/473,967
  6. Step 6: Final answer
    x = 2,056,657.84

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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.