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Finding the Third Proportional to 239,816 and 517,030

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Solution

The third proportional to 239,816 and 517,030 is: 1,114,688.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,816 : 517,030 = 517,030 : x
  2. Step 2: Convert to fraction form
    239,816/517,030 = 517,030/x
  3. Step 3: Cross multiply
    239,816x = 517,030 × 517,030
  4. Step 4: Simplify right side
    239,816x = 267,320,020,900
  5. Step 5: Solve for x
    x = 267,320,020,900/239,816
  6. Step 6: Final answer
    x = 1,114,688.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.