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Finding the Third Proportional to 384,922.13 and 562,317.19

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Solution

The third proportional to 384,922.13 and 562,317.19 is: 821,466.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,922.13 : 562,317.19 = 562,317.19 : x
  2. Step 2: Convert to fraction form
    384,922.13/562,317.19 = 562,317.19/x
  3. Step 3: Cross multiply
    384,922.13x = 562,317.19 × 562,317.19
  4. Step 4: Simplify right side
    384,922.13x = 316,200,619,357.91
  5. Step 5: Solve for x
    x = 316,200,619,357.91/384,922.13
  6. Step 6: Final answer
    x = 821,466.47

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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.