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Finding the Third Proportional to 342,054 and 526,203

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Solution

The third proportional to 342,054 and 526,203 is: 809,490.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,054 : 526,203 = 526,203 : x
  2. Step 2: Convert to fraction form
    342,054/526,203 = 526,203/x
  3. Step 3: Cross multiply
    342,054x = 526,203 × 526,203
  4. Step 4: Simplify right side
    342,054x = 276,889,597,209
  5. Step 5: Solve for x
    x = 276,889,597,209/342,054
  6. Step 6: Final answer
    x = 809,490.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.