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Finding the Third Proportional to 433,957.50 and 945,027

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Solution

The third proportional to 433,957.50 and 945,027 is: 2,057,980.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,957.50 : 945,027 = 945,027 : x
  2. Step 2: Convert to fraction form
    433,957.50/945,027 = 945,027/x
  3. Step 3: Cross multiply
    433,957.50x = 945,027 × 945,027
  4. Step 4: Simplify right side
    433,957.50x = 893,076,030,729
  5. Step 5: Solve for x
    x = 893,076,030,729/433,957.50
  6. Step 6: Final answer
    x = 2,057,980.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.