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Finding the Third Proportional to 599,150 and 1,303,276

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Solution

The third proportional to 599,150 and 1,303,276 is: 2,834,896.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,150 : 1,303,276 = 1,303,276 : x
  2. Step 2: Convert to fraction form
    599,150/1,303,276 = 1,303,276/x
  3. Step 3: Cross multiply
    599,150x = 1,303,276 × 1,303,276
  4. Step 4: Simplify right side
    599,150x = 1,698,528,332,176
  5. Step 5: Solve for x
    x = 1,698,528,332,176/599,150
  6. Step 6: Final answer
    x = 2,834,896.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.