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Finding the Third Proportional to 377,425 and 561,013

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Solution

The third proportional to 377,425 and 561,013 is: 833,902.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,425 : 561,013 = 561,013 : x
  2. Step 2: Convert to fraction form
    377,425/561,013 = 561,013/x
  3. Step 3: Cross multiply
    377,425x = 561,013 × 561,013
  4. Step 4: Simplify right side
    377,425x = 314,735,586,169
  5. Step 5: Solve for x
    x = 314,735,586,169/377,425
  6. Step 6: Final answer
    x = 833,902.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.