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Finding the Third Proportional to 360,504 and 767,592

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Solution

The third proportional to 360,504 and 767,592 is: 1,634,371.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,504 : 767,592 = 767,592 : x
  2. Step 2: Convert to fraction form
    360,504/767,592 = 767,592/x
  3. Step 3: Cross multiply
    360,504x = 767,592 × 767,592
  4. Step 4: Simplify right side
    360,504x = 589,197,478,464
  5. Step 5: Solve for x
    x = 589,197,478,464/360,504
  6. Step 6: Final answer
    x = 1,634,371.54

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.