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Finding the Third Proportional to 256,309 and 593,360

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Solution

The third proportional to 256,309 and 593,360 is: 1,373,639.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,309 : 593,360 = 593,360 : x
  2. Step 2: Convert to fraction form
    256,309/593,360 = 593,360/x
  3. Step 3: Cross multiply
    256,309x = 593,360 × 593,360
  4. Step 4: Simplify right side
    256,309x = 352,076,089,600
  5. Step 5: Solve for x
    x = 352,076,089,600/256,309
  6. Step 6: Final answer
    x = 1,373,639.20

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.