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Finding the Third Proportional to 447,250 and 973,232

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Solution

The third proportional to 447,250 and 973,232 is: 2,117,787.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,250 : 973,232 = 973,232 : x
  2. Step 2: Convert to fraction form
    447,250/973,232 = 973,232/x
  3. Step 3: Cross multiply
    447,250x = 973,232 × 973,232
  4. Step 4: Simplify right side
    447,250x = 947,180,525,824
  5. Step 5: Solve for x
    x = 947,180,525,824/447,250
  6. Step 6: Final answer
    x = 2,117,787.65

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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.