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Finding the Third Proportional to 446,630.25 and 973,564.50

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Solution

The third proportional to 446,630.25 and 973,564.50 is: 2,122,175.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,630.25 : 973,564.50 = 973,564.50 : x
  2. Step 2: Convert to fraction form
    446,630.25/973,564.50 = 973,564.50/x
  3. Step 3: Cross multiply
    446,630.25x = 973,564.50 × 973,564.50
  4. Step 4: Simplify right side
    446,630.25x = 947,827,835,660.25
  5. Step 5: Solve for x
    x = 947,827,835,660.25/446,630.25
  6. Step 6: Final answer
    x = 2,122,175.64

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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.