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Finding the Third Proportional to 288,128 and 599,360

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Solution

The third proportional to 288,128 and 599,360 is: 1,246,780.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,128 : 599,360 = 599,360 : x
  2. Step 2: Convert to fraction form
    288,128/599,360 = 599,360/x
  3. Step 3: Cross multiply
    288,128x = 599,360 × 599,360
  4. Step 4: Simplify right side
    288,128x = 359,232,409,600
  5. Step 5: Solve for x
    x = 359,232,409,600/288,128
  6. Step 6: Final answer
    x = 1,246,780.63

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.