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Finding the Third Proportional to 360,024 and 787,824

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Solution

The third proportional to 360,024 and 787,824 is: 1,723,959.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,024 : 787,824 = 787,824 : x
  2. Step 2: Convert to fraction form
    360,024/787,824 = 787,824/x
  3. Step 3: Cross multiply
    360,024x = 787,824 × 787,824
  4. Step 4: Simplify right side
    360,024x = 620,666,654,976
  5. Step 5: Solve for x
    x = 620,666,654,976/360,024
  6. Step 6: Final answer
    x = 1,723,959.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.