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Finding the Third Proportional to 245,861 and 370,522.50

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Solution

The third proportional to 245,861 and 370,522.50 is: 558,392.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,861 : 370,522.50 = 370,522.50 : x
  2. Step 2: Convert to fraction form
    245,861/370,522.50 = 370,522.50/x
  3. Step 3: Cross multiply
    245,861x = 370,522.50 × 370,522.50
  4. Step 4: Simplify right side
    245,861x = 137,286,923,006.25
  5. Step 5: Solve for x
    x = 137,286,923,006.25/245,861
  6. Step 6: Final answer
    x = 558,392.44

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.