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Finding the Third Proportional to 237,054 and 518,388

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Solution

The third proportional to 237,054 and 518,388 is: 1,133,607.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,054 : 518,388 = 518,388 : x
  2. Step 2: Convert to fraction form
    237,054/518,388 = 518,388/x
  3. Step 3: Cross multiply
    237,054x = 518,388 × 518,388
  4. Step 4: Simplify right side
    237,054x = 268,726,118,544
  5. Step 5: Solve for x
    x = 268,726,118,544/237,054
  6. Step 6: Final answer
    x = 1,133,607.19

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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.