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Finding the Third Proportional to 239,704 and 524,240

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Solution

The third proportional to 239,704 and 524,240 is: 1,146,528.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,704 : 524,240 = 524,240 : x
  2. Step 2: Convert to fraction form
    239,704/524,240 = 524,240/x
  3. Step 3: Cross multiply
    239,704x = 524,240 × 524,240
  4. Step 4: Simplify right side
    239,704x = 274,827,577,600
  5. Step 5: Solve for x
    x = 274,827,577,600/239,704
  6. Step 6: Final answer
    x = 1,146,528.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.