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Finding the Third Proportional to 419,908 and 637,638

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Solution

The third proportional to 419,908 and 637,638 is: 968,265.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,908 : 637,638 = 637,638 : x
  2. Step 2: Convert to fraction form
    419,908/637,638 = 637,638/x
  3. Step 3: Cross multiply
    419,908x = 637,638 × 637,638
  4. Step 4: Simplify right side
    419,908x = 406,582,219,044
  5. Step 5: Solve for x
    x = 406,582,219,044/419,908
  6. Step 6: Final answer
    x = 968,265.00

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.