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Finding the Third Proportional to 351,184 and 744,164

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Solution

The third proportional to 351,184 and 744,164 is: 1,576,894.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,184 : 744,164 = 744,164 : x
  2. Step 2: Convert to fraction form
    351,184/744,164 = 744,164/x
  3. Step 3: Cross multiply
    351,184x = 744,164 × 744,164
  4. Step 4: Simplify right side
    351,184x = 553,780,058,896
  5. Step 5: Solve for x
    x = 553,780,058,896/351,184
  6. Step 6: Final answer
    x = 1,576,894.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.