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Finding the Third Proportional to 544,988 and 850,590

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Solution

The third proportional to 544,988 and 850,590 is: 1,327,558.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,988 : 850,590 = 850,590 : x
  2. Step 2: Convert to fraction form
    544,988/850,590 = 850,590/x
  3. Step 3: Cross multiply
    544,988x = 850,590 × 850,590
  4. Step 4: Simplify right side
    544,988x = 723,503,348,100
  5. Step 5: Solve for x
    x = 723,503,348,100/544,988
  6. Step 6: Final answer
    x = 1,327,558.31

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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.