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Finding the Third Proportional to 446,998.50 and 973,792

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Solution

The third proportional to 446,998.50 and 973,792 is: 2,121,418.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,998.50 : 973,792 = 973,792 : x
  2. Step 2: Convert to fraction form
    446,998.50/973,792 = 973,792/x
  3. Step 3: Cross multiply
    446,998.50x = 973,792 × 973,792
  4. Step 4: Simplify right side
    446,998.50x = 948,270,859,264
  5. Step 5: Solve for x
    x = 948,270,859,264/446,998.50
  6. Step 6: Final answer
    x = 2,121,418.44

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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.