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Finding the Third Proportional to 370,436 and 573,958

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Solution

The third proportional to 370,436 and 573,958 is: 889,297.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,436 : 573,958 = 573,958 : x
  2. Step 2: Convert to fraction form
    370,436/573,958 = 573,958/x
  3. Step 3: Cross multiply
    370,436x = 573,958 × 573,958
  4. Step 4: Simplify right side
    370,436x = 329,427,785,764
  5. Step 5: Solve for x
    x = 329,427,785,764/370,436
  6. Step 6: Final answer
    x = 889,297.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.