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Finding the Third Proportional to 244,130 and 540,505

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Solution

The third proportional to 244,130 and 540,505 is: 1,196,680.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,130 : 540,505 = 540,505 : x
  2. Step 2: Convert to fraction form
    244,130/540,505 = 540,505/x
  3. Step 3: Cross multiply
    244,130x = 540,505 × 540,505
  4. Step 4: Simplify right side
    244,130x = 292,145,655,025
  5. Step 5: Solve for x
    x = 292,145,655,025/244,130
  6. Step 6: Final answer
    x = 1,196,680.68

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.