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Finding the Third Proportional to 446,630.50 and 973,433

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Solution

The third proportional to 446,630.50 and 973,433 is: 2,121,601.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,630.50 : 973,433 = 973,433 : x
  2. Step 2: Convert to fraction form
    446,630.50/973,433 = 973,433/x
  3. Step 3: Cross multiply
    446,630.50x = 973,433 × 973,433
  4. Step 4: Simplify right side
    446,630.50x = 947,571,805,489
  5. Step 5: Solve for x
    x = 947,571,805,489/446,630.50
  6. Step 6: Final answer
    x = 2,121,601.20

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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.