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Finding the Third Proportional to 549,324 and 823,449

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Solution

The third proportional to 549,324 and 823,449 is: 1,234,368.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,324 : 823,449 = 823,449 : x
  2. Step 2: Convert to fraction form
    549,324/823,449 = 823,449/x
  3. Step 3: Cross multiply
    549,324x = 823,449 × 823,449
  4. Step 4: Simplify right side
    549,324x = 678,068,255,601
  5. Step 5: Solve for x
    x = 678,068,255,601/549,324
  6. Step 6: Final answer
    x = 1,234,368.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.