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Finding the Third Proportional to 289,356 and 623,100

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Solution

The third proportional to 289,356 and 623,100 is: 1,341,785.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,356 : 623,100 = 623,100 : x
  2. Step 2: Convert to fraction form
    289,356/623,100 = 623,100/x
  3. Step 3: Cross multiply
    289,356x = 623,100 × 623,100
  4. Step 4: Simplify right side
    289,356x = 388,253,610,000
  5. Step 5: Solve for x
    x = 388,253,610,000/289,356
  6. Step 6: Final answer
    x = 1,341,785.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.