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Finding the Third Proportional to 371,812 and 590,928

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Solution

The third proportional to 371,812 and 590,928 is: 939,173.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,812 : 590,928 = 590,928 : x
  2. Step 2: Convert to fraction form
    371,812/590,928 = 590,928/x
  3. Step 3: Cross multiply
    371,812x = 590,928 × 590,928
  4. Step 4: Simplify right side
    371,812x = 349,195,901,184
  5. Step 5: Solve for x
    x = 349,195,901,184/371,812
  6. Step 6: Final answer
    x = 939,173.30

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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.