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Finding the Third Proportional to 398,176 and 859,693

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Solution

The third proportional to 398,176 and 859,693 is: 1,856,144.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,176 : 859,693 = 859,693 : x
  2. Step 2: Convert to fraction form
    398,176/859,693 = 859,693/x
  3. Step 3: Cross multiply
    398,176x = 859,693 × 859,693
  4. Step 4: Simplify right side
    398,176x = 739,072,054,249
  5. Step 5: Solve for x
    x = 739,072,054,249/398,176
  6. Step 6: Final answer
    x = 1,856,144.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.