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Finding the Third Proportional to 297,792 and 637,137

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Solution

The third proportional to 297,792 and 637,137 is: 1,363,178.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,792 : 637,137 = 637,137 : x
  2. Step 2: Convert to fraction form
    297,792/637,137 = 637,137/x
  3. Step 3: Cross multiply
    297,792x = 637,137 × 637,137
  4. Step 4: Simplify right side
    297,792x = 405,943,556,769
  5. Step 5: Solve for x
    x = 405,943,556,769/297,792
  6. Step 6: Final answer
    x = 1,363,178.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.