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Finding the Third Proportional to 463,774 and 661,640

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Solution

The third proportional to 463,774 and 661,640 is: 943,924.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,774 : 661,640 = 661,640 : x
  2. Step 2: Convert to fraction form
    463,774/661,640 = 661,640/x
  3. Step 3: Cross multiply
    463,774x = 661,640 × 661,640
  4. Step 4: Simplify right side
    463,774x = 437,767,489,600
  5. Step 5: Solve for x
    x = 437,767,489,600/463,774
  6. Step 6: Final answer
    x = 943,924.17

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.