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Finding the Third Proportional to 245,727 and 370,845

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Solution

The third proportional to 245,727 and 370,845 is: 559,669.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,727 : 370,845 = 370,845 : x
  2. Step 2: Convert to fraction form
    245,727/370,845 = 370,845/x
  3. Step 3: Cross multiply
    245,727x = 370,845 × 370,845
  4. Step 4: Simplify right side
    245,727x = 137,526,014,025
  5. Step 5: Solve for x
    x = 137,526,014,025/245,727
  6. Step 6: Final answer
    x = 559,669.93

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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.