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Finding the Third Proportional to 272,328 and 598,410

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Solution

The third proportional to 272,328 and 598,410 is: 1,314,938.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,328 : 598,410 = 598,410 : x
  2. Step 2: Convert to fraction form
    272,328/598,410 = 598,410/x
  3. Step 3: Cross multiply
    272,328x = 598,410 × 598,410
  4. Step 4: Simplify right side
    272,328x = 358,094,528,100
  5. Step 5: Solve for x
    x = 358,094,528,100/272,328
  6. Step 6: Final answer
    x = 1,314,938.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.