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Finding the Third Proportional to 228,963 and 497,333

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Solution

The third proportional to 228,963 and 497,333 is: 1,080,262.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,963 : 497,333 = 497,333 : x
  2. Step 2: Convert to fraction form
    228,963/497,333 = 497,333/x
  3. Step 3: Cross multiply
    228,963x = 497,333 × 497,333
  4. Step 4: Simplify right side
    228,963x = 247,340,112,889
  5. Step 5: Solve for x
    x = 247,340,112,889/228,963
  6. Step 6: Final answer
    x = 1,080,262.37

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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.