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Finding the Third Proportional to 216,447 and 463,998

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Solution

The third proportional to 216,447 and 463,998 is: 994,673.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,447 : 463,998 = 463,998 : x
  2. Step 2: Convert to fraction form
    216,447/463,998 = 463,998/x
  3. Step 3: Cross multiply
    216,447x = 463,998 × 463,998
  4. Step 4: Simplify right side
    216,447x = 215,294,144,004
  5. Step 5: Solve for x
    x = 215,294,144,004/216,447
  6. Step 6: Final answer
    x = 994,673.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.