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Finding the Third Proportional to 237,011.06 and 518,364.56

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Solution

The third proportional to 237,011.06 and 518,364.56 is: 1,133,710.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,011.06 : 518,364.56 = 518,364.56 : x
  2. Step 2: Convert to fraction form
    237,011.06/518,364.56 = 518,364.56/x
  3. Step 3: Cross multiply
    237,011.06x = 518,364.56 × 518,364.56
  4. Step 4: Simplify right side
    237,011.06x = 268,701,819,655.82
  5. Step 5: Solve for x
    x = 268,701,819,655.82/237,011.06
  6. Step 6: Final answer
    x = 1,133,710.03

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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.