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Finding the Third Proportional to 420,039 and 637,848

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Solution

The third proportional to 420,039 and 637,848 is: 968,600.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,039 : 637,848 = 637,848 : x
  2. Step 2: Convert to fraction form
    420,039/637,848 = 637,848/x
  3. Step 3: Cross multiply
    420,039x = 637,848 × 637,848
  4. Step 4: Simplify right side
    420,039x = 406,850,071,104
  5. Step 5: Solve for x
    x = 406,850,071,104/420,039
  6. Step 6: Final answer
    x = 968,600.70

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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.