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Finding the Third Proportional to 270,495 and 587,645

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Solution

The third proportional to 270,495 and 587,645 is: 1,276,647.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,495 : 587,645 = 587,645 : x
  2. Step 2: Convert to fraction form
    270,495/587,645 = 587,645/x
  3. Step 3: Cross multiply
    270,495x = 587,645 × 587,645
  4. Step 4: Simplify right side
    270,495x = 345,326,646,025
  5. Step 5: Solve for x
    x = 345,326,646,025/270,495
  6. Step 6: Final answer
    x = 1,276,647.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.