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Finding the Third Proportional to 451,794 and 602,310

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Solution

The third proportional to 451,794 and 602,310 is: 802,970.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,794 : 602,310 = 602,310 : x
  2. Step 2: Convert to fraction form
    451,794/602,310 = 602,310/x
  3. Step 3: Cross multiply
    451,794x = 602,310 × 602,310
  4. Step 4: Simplify right side
    451,794x = 362,777,336,100
  5. Step 5: Solve for x
    x = 362,777,336,100/451,794
  6. Step 6: Final answer
    x = 802,970.68

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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.