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Finding the Third Proportional to 263,495 and 585,938

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Solution

The third proportional to 263,495 and 585,938 is: 1,302,959.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,495 : 585,938 = 585,938 : x
  2. Step 2: Convert to fraction form
    263,495/585,938 = 585,938/x
  3. Step 3: Cross multiply
    263,495x = 585,938 × 585,938
  4. Step 4: Simplify right side
    263,495x = 343,323,339,844
  5. Step 5: Solve for x
    x = 343,323,339,844/263,495
  6. Step 6: Final answer
    x = 1,302,959.60

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.