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Finding the Third Proportional to 228,954 and 497,316

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Solution

The third proportional to 228,954 and 497,316 is: 1,080,230.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,954 : 497,316 = 497,316 : x
  2. Step 2: Convert to fraction form
    228,954/497,316 = 497,316/x
  3. Step 3: Cross multiply
    228,954x = 497,316 × 497,316
  4. Step 4: Simplify right side
    228,954x = 247,323,203,856
  5. Step 5: Solve for x
    x = 247,323,203,856/228,954
  6. Step 6: Final answer
    x = 1,080,230.98

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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.