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Finding the Third Proportional to 290,752 and 616,024

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Solution

The third proportional to 290,752 and 616,024 is: 1,305,186.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,752 : 616,024 = 616,024 : x
  2. Step 2: Convert to fraction form
    290,752/616,024 = 616,024/x
  3. Step 3: Cross multiply
    290,752x = 616,024 × 616,024
  4. Step 4: Simplify right side
    290,752x = 379,485,568,576
  5. Step 5: Solve for x
    x = 379,485,568,576/290,752
  6. Step 6: Final answer
    x = 1,305,186.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.