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Finding the Third Proportional to 376,173 and 583,122

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Solution

The third proportional to 376,173 and 583,122 is: 903,922.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,173 : 583,122 = 583,122 : x
  2. Step 2: Convert to fraction form
    376,173/583,122 = 583,122/x
  3. Step 3: Cross multiply
    376,173x = 583,122 × 583,122
  4. Step 4: Simplify right side
    376,173x = 340,031,266,884
  5. Step 5: Solve for x
    x = 340,031,266,884/376,173
  6. Step 6: Final answer
    x = 903,922.58

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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.