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Finding the Third Proportional to 265,038 and 410,841

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Solution

The third proportional to 265,038 and 410,841 is: 636,853.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,038 : 410,841 = 410,841 : x
  2. Step 2: Convert to fraction form
    265,038/410,841 = 410,841/x
  3. Step 3: Cross multiply
    265,038x = 410,841 × 410,841
  4. Step 4: Simplify right side
    265,038x = 168,790,327,281
  5. Step 5: Solve for x
    x = 168,790,327,281/265,038
  6. Step 6: Final answer
    x = 636,853.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.