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Finding the Third Proportional to 363,308 and 567,038

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Solution

The third proportional to 363,308 and 567,038 is: 885,012.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,308 : 567,038 = 567,038 : x
  2. Step 2: Convert to fraction form
    363,308/567,038 = 567,038/x
  3. Step 3: Cross multiply
    363,308x = 567,038 × 567,038
  4. Step 4: Simplify right side
    363,308x = 321,532,093,444
  5. Step 5: Solve for x
    x = 321,532,093,444/363,308
  6. Step 6: Final answer
    x = 885,012.42

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.