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Finding the Third Proportional to 480,267 and 695,601

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Solution

The third proportional to 480,267 and 695,601 is: 1,007,482.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,267 : 695,601 = 695,601 : x
  2. Step 2: Convert to fraction form
    480,267/695,601 = 695,601/x
  3. Step 3: Cross multiply
    480,267x = 695,601 × 695,601
  4. Step 4: Simplify right side
    480,267x = 483,860,751,201
  5. Step 5: Solve for x
    x = 483,860,751,201/480,267
  6. Step 6: Final answer
    x = 1,007,482.82

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.