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Finding the Third Proportional to 288,047 and 421,653

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Solution

The third proportional to 288,047 and 421,653 is: 617,230.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,047 : 421,653 = 421,653 : x
  2. Step 2: Convert to fraction form
    288,047/421,653 = 421,653/x
  3. Step 3: Cross multiply
    288,047x = 421,653 × 421,653
  4. Step 4: Simplify right side
    288,047x = 177,791,252,409
  5. Step 5: Solve for x
    x = 177,791,252,409/288,047
  6. Step 6: Final answer
    x = 617,230.01

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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.