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Finding the Third Proportional to 367,419 and 562,063.50

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Solution

The third proportional to 367,419 and 562,063.50 is: 859,823.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,419 : 562,063.50 = 562,063.50 : x
  2. Step 2: Convert to fraction form
    367,419/562,063.50 = 562,063.50/x
  3. Step 3: Cross multiply
    367,419x = 562,063.50 × 562,063.50
  4. Step 4: Simplify right side
    367,419x = 315,915,378,032.25
  5. Step 5: Solve for x
    x = 315,915,378,032.25/367,419
  6. Step 6: Final answer
    x = 859,823.19

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