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Finding the Third Proportional to 265,371 and 397,083

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Solution

The third proportional to 265,371 and 397,083 is: 594,167.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,371 : 397,083 = 397,083 : x
  2. Step 2: Convert to fraction form
    265,371/397,083 = 397,083/x
  3. Step 3: Cross multiply
    265,371x = 397,083 × 397,083
  4. Step 4: Simplify right side
    265,371x = 157,674,908,889
  5. Step 5: Solve for x
    x = 157,674,908,889/265,371
  6. Step 6: Final answer
    x = 594,167.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.