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Finding the Third Proportional to 451,702 and 602,199

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Solution

The third proportional to 451,702 and 602,199 is: 802,838.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,702 : 602,199 = 602,199 : x
  2. Step 2: Convert to fraction form
    451,702/602,199 = 602,199/x
  3. Step 3: Cross multiply
    451,702x = 602,199 × 602,199
  4. Step 4: Simplify right side
    451,702x = 362,643,635,601
  5. Step 5: Solve for x
    x = 362,643,635,601/451,702
  6. Step 6: Final answer
    x = 802,838.23

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.