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Finding the Third Proportional to 451,186 and 602,094

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Solution

The third proportional to 451,186 and 602,094 is: 803,476.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,186 : 602,094 = 602,094 : x
  2. Step 2: Convert to fraction form
    451,186/602,094 = 602,094/x
  3. Step 3: Cross multiply
    451,186x = 602,094 × 602,094
  4. Step 4: Simplify right side
    451,186x = 362,517,184,836
  5. Step 5: Solve for x
    x = 362,517,184,836/451,186
  6. Step 6: Final answer
    x = 803,476.14

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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.