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Finding the Third Proportional to 237,007.69 and 518,356.13

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Solution

The third proportional to 237,007.69 and 518,356.13 is: 1,133,689.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,007.69 : 518,356.13 = 518,356.13 : x
  2. Step 2: Convert to fraction form
    237,007.69/518,356.13 = 518,356.13/x
  3. Step 3: Cross multiply
    237,007.69x = 518,356.13 × 518,356.13
  4. Step 4: Simplify right side
    237,007.69x = 268,693,072,325.02
  5. Step 5: Solve for x
    x = 268,693,072,325.02/237,007.69
  6. Step 6: Final answer
    x = 1,133,689.27

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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.