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Finding the Third Proportional to 376,258 and 501,603

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Solution

The third proportional to 376,258 and 501,603 is: 668,704.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,258 : 501,603 = 501,603 : x
  2. Step 2: Convert to fraction form
    376,258/501,603 = 501,603/x
  3. Step 3: Cross multiply
    376,258x = 501,603 × 501,603
  4. Step 4: Simplify right side
    376,258x = 251,605,569,609
  5. Step 5: Solve for x
    x = 251,605,569,609/376,258
  6. Step 6: Final answer
    x = 668,704.90

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.