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Finding the Third Proportional to 371,806 and 590,918

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Solution

The third proportional to 371,806 and 590,918 is: 939,156.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,806 : 590,918 = 590,918 : x
  2. Step 2: Convert to fraction form
    371,806/590,918 = 590,918/x
  3. Step 3: Cross multiply
    371,806x = 590,918 × 590,918
  4. Step 4: Simplify right side
    371,806x = 349,184,082,724
  5. Step 5: Solve for x
    x = 349,184,082,724/371,806
  6. Step 6: Final answer
    x = 939,156.66

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.