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Finding the Third Proportional to 301,854.94 and 408,495.66

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Solution

The third proportional to 301,854.94 and 408,495.66 is: 552,810.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,854.94 : 408,495.66 = 408,495.66 : x
  2. Step 2: Convert to fraction form
    301,854.94/408,495.66 = 408,495.66/x
  3. Step 3: Cross multiply
    301,854.94x = 408,495.66 × 408,495.66
  4. Step 4: Simplify right side
    301,854.94x = 166,868,701,175.12
  5. Step 5: Solve for x
    x = 166,868,701,175.12/301,854.94
  6. Step 6: Final answer
    x = 552,810.90

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.