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Finding the Third Proportional to 437,402 and 661,976

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Solution

The third proportional to 437,402 and 661,976 is: 1,001,852.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,402 : 661,976 = 661,976 : x
  2. Step 2: Convert to fraction form
    437,402/661,976 = 661,976/x
  3. Step 3: Cross multiply
    437,402x = 661,976 × 661,976
  4. Step 4: Simplify right side
    437,402x = 438,212,224,576
  5. Step 5: Solve for x
    x = 438,212,224,576/437,402
  6. Step 6: Final answer
    x = 1,001,852.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.