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Finding the Third Proportional to 245,728 and 370,846

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Solution

The third proportional to 245,728 and 370,846 is: 559,670.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,728 : 370,846 = 370,846 : x
  2. Step 2: Convert to fraction form
    245,728/370,846 = 370,846/x
  3. Step 3: Cross multiply
    245,728x = 370,846 × 370,846
  4. Step 4: Simplify right side
    245,728x = 137,526,755,716
  5. Step 5: Solve for x
    x = 137,526,755,716/245,728
  6. Step 6: Final answer
    x = 559,670.68

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Why These Related Problems?

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