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Finding the Third Proportional to 233,478 and 512,148

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Solution

The third proportional to 233,478 and 512,148 is: 1,123,427.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,478 : 512,148 = 512,148 : x
  2. Step 2: Convert to fraction form
    233,478/512,148 = 512,148/x
  3. Step 3: Cross multiply
    233,478x = 512,148 × 512,148
  4. Step 4: Simplify right side
    233,478x = 262,295,573,904
  5. Step 5: Solve for x
    x = 262,295,573,904/233,478
  6. Step 6: Final answer
    x = 1,123,427.36

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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.