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Finding the Third Proportional to 242,028 and 524,880

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Solution

The third proportional to 242,028 and 524,880 is: 1,138,293.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,028 : 524,880 = 524,880 : x
  2. Step 2: Convert to fraction form
    242,028/524,880 = 524,880/x
  3. Step 3: Cross multiply
    242,028x = 524,880 × 524,880
  4. Step 4: Simplify right side
    242,028x = 275,499,014,400
  5. Step 5: Solve for x
    x = 275,499,014,400/242,028
  6. Step 6: Final answer
    x = 1,138,293.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.