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Finding the Third Proportional to 263,127 and 384,701

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Solution

The third proportional to 263,127 and 384,701 is: 562,446.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,127 : 384,701 = 384,701 : x
  2. Step 2: Convert to fraction form
    263,127/384,701 = 384,701/x
  3. Step 3: Cross multiply
    263,127x = 384,701 × 384,701
  4. Step 4: Simplify right side
    263,127x = 147,994,859,401
  5. Step 5: Solve for x
    x = 147,994,859,401/263,127
  6. Step 6: Final answer
    x = 562,446.50

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.