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Finding the Third Proportional to 376,742 and 528,003

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Solution

The third proportional to 376,742 and 528,003 is: 739,994.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,742 : 528,003 = 528,003 : x
  2. Step 2: Convert to fraction form
    376,742/528,003 = 528,003/x
  3. Step 3: Cross multiply
    376,742x = 528,003 × 528,003
  4. Step 4: Simplify right side
    376,742x = 278,787,168,009
  5. Step 5: Solve for x
    x = 278,787,168,009/376,742
  6. Step 6: Final answer
    x = 739,994.92

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.