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Finding the Third Proportional to 250,290 and 375,921

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Solution

The third proportional to 250,290 and 375,921 is: 564,611.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,290 : 375,921 = 375,921 : x
  2. Step 2: Convert to fraction form
    250,290/375,921 = 375,921/x
  3. Step 3: Cross multiply
    250,290x = 375,921 × 375,921
  4. Step 4: Simplify right side
    250,290x = 141,316,598,241
  5. Step 5: Solve for x
    x = 141,316,598,241/250,290
  6. Step 6: Final answer
    x = 564,611.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.