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Finding the Third Proportional to 360,919.13 and 504,603

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Solution

The third proportional to 360,919.13 and 504,603 is: 705,488.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,919.13 : 504,603 = 504,603 : x
  2. Step 2: Convert to fraction form
    360,919.13/504,603 = 504,603/x
  3. Step 3: Cross multiply
    360,919.13x = 504,603 × 504,603
  4. Step 4: Simplify right side
    360,919.13x = 254,624,187,609
  5. Step 5: Solve for x
    x = 254,624,187,609/360,919.13
  6. Step 6: Final answer
    x = 705,488.21

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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.