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Finding the Third Proportional to 343,464.50 and 505,258.50

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Solution

The third proportional to 343,464.50 and 505,258.50 is: 743,267.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,464.50 : 505,258.50 = 505,258.50 : x
  2. Step 2: Convert to fraction form
    343,464.50/505,258.50 = 505,258.50/x
  3. Step 3: Cross multiply
    343,464.50x = 505,258.50 × 505,258.50
  4. Step 4: Simplify right side
    343,464.50x = 255,286,151,822.25
  5. Step 5: Solve for x
    x = 255,286,151,822.25/343,464.50
  6. Step 6: Final answer
    x = 743,267.94

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.