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Finding the Third Proportional to 272,728 and 583,361

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Solution

The third proportional to 272,728 and 583,361 is: 1,247,800.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,728 : 583,361 = 583,361 : x
  2. Step 2: Convert to fraction form
    272,728/583,361 = 583,361/x
  3. Step 3: Cross multiply
    272,728x = 583,361 × 583,361
  4. Step 4: Simplify right side
    272,728x = 340,310,056,321
  5. Step 5: Solve for x
    x = 340,310,056,321/272,728
  6. Step 6: Final answer
    x = 1,247,800.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.