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Finding the Third Proportional to 376,172 and 583,120

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Solution

The third proportional to 376,172 and 583,120 is: 903,918.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,172 : 583,120 = 583,120 : x
  2. Step 2: Convert to fraction form
    376,172/583,120 = 583,120/x
  3. Step 3: Cross multiply
    376,172x = 583,120 × 583,120
  4. Step 4: Simplify right side
    376,172x = 340,028,934,400
  5. Step 5: Solve for x
    x = 340,028,934,400/376,172
  6. Step 6: Final answer
    x = 903,918.78

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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.