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Finding the Third Proportional to 234,758 and 506,018

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Solution

The third proportional to 234,758 and 506,018 is: 1,090,715.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,758 : 506,018 = 506,018 : x
  2. Step 2: Convert to fraction form
    234,758/506,018 = 506,018/x
  3. Step 3: Cross multiply
    234,758x = 506,018 × 506,018
  4. Step 4: Simplify right side
    234,758x = 256,054,216,324
  5. Step 5: Solve for x
    x = 256,054,216,324/234,758
  6. Step 6: Final answer
    x = 1,090,715.61

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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.