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Finding the Third Proportional to 239,409 and 514,096.88

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Solution

The third proportional to 239,409 and 514,096.88 is: 1,103,950.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,409 : 514,096.88 = 514,096.88 : x
  2. Step 2: Convert to fraction form
    239,409/514,096.88 = 514,096.88/x
  3. Step 3: Cross multiply
    239,409x = 514,096.88 × 514,096.88
  4. Step 4: Simplify right side
    239,409x = 264,295,596,884.77
  5. Step 5: Solve for x
    x = 264,295,596,884.77/239,409
  6. Step 6: Final answer
    x = 1,103,950.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.