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Finding the Third Proportional to 588,096 and 879,828

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Solution

The third proportional to 588,096 and 879,828 is: 1,316,277.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,096 : 879,828 = 879,828 : x
  2. Step 2: Convert to fraction form
    588,096/879,828 = 879,828/x
  3. Step 3: Cross multiply
    588,096x = 879,828 × 879,828
  4. Step 4: Simplify right side
    588,096x = 774,097,309,584
  5. Step 5: Solve for x
    x = 774,097,309,584/588,096
  6. Step 6: Final answer
    x = 1,316,277.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.