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Finding the Third Proportional to 297,792 and 648,072

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Solution

The third proportional to 297,792 and 648,072 is: 1,410,371.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,792 : 648,072 = 648,072 : x
  2. Step 2: Convert to fraction form
    297,792/648,072 = 648,072/x
  3. Step 3: Cross multiply
    297,792x = 648,072 × 648,072
  4. Step 4: Simplify right side
    297,792x = 419,997,317,184
  5. Step 5: Solve for x
    x = 419,997,317,184/297,792
  6. Step 6: Final answer
    x = 1,410,371.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.