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Finding the Third Proportional to 572,242 and 884,667

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Solution

The third proportional to 572,242 and 884,667 is: 1,367,665.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,242 : 884,667 = 884,667 : x
  2. Step 2: Convert to fraction form
    572,242/884,667 = 884,667/x
  3. Step 3: Cross multiply
    572,242x = 884,667 × 884,667
  4. Step 4: Simplify right side
    572,242x = 782,635,700,889
  5. Step 5: Solve for x
    x = 782,635,700,889/572,242
  6. Step 6: Final answer
    x = 1,367,665.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.