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Finding the Third Proportional to 265,293 and 546,138

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Solution

The third proportional to 265,293 and 546,138 is: 1,124,291.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,293 : 546,138 = 546,138 : x
  2. Step 2: Convert to fraction form
    265,293/546,138 = 546,138/x
  3. Step 3: Cross multiply
    265,293x = 546,138 × 546,138
  4. Step 4: Simplify right side
    265,293x = 298,266,715,044
  5. Step 5: Solve for x
    x = 298,266,715,044/265,293
  6. Step 6: Final answer
    x = 1,124,291.69

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.