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Finding the Third Proportional to 492,828 and 719,863.50

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Solution

The third proportional to 492,828 and 719,863.50 is: 1,051,489.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,828 : 719,863.50 = 719,863.50 : x
  2. Step 2: Convert to fraction form
    492,828/719,863.50 = 719,863.50/x
  3. Step 3: Cross multiply
    492,828x = 719,863.50 × 719,863.50
  4. Step 4: Simplify right side
    492,828x = 518,203,458,632.25
  5. Step 5: Solve for x
    x = 518,203,458,632.25/492,828
  6. Step 6: Final answer
    x = 1,051,489.48

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.