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Finding the Third Proportional to 397,224 and 607,758.19

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Solution

The third proportional to 397,224 and 607,758.19 is: 929,878.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,224 : 607,758.19 = 607,758.19 : x
  2. Step 2: Convert to fraction form
    397,224/607,758.19 = 607,758.19/x
  3. Step 3: Cross multiply
    397,224x = 607,758.19 × 607,758.19
  4. Step 4: Simplify right side
    397,224x = 369,370,014,473.29
  5. Step 5: Solve for x
    x = 369,370,014,473.29/397,224
  6. Step 6: Final answer
    x = 929,878.39

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.