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Finding the Third Proportional to 506,775 and 682,592.25

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Solution

The third proportional to 506,775 and 682,592.25 is: 919,406.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,775 : 682,592.25 = 682,592.25 : x
  2. Step 2: Convert to fraction form
    506,775/682,592.25 = 682,592.25/x
  3. Step 3: Cross multiply
    506,775x = 682,592.25 × 682,592.25
  4. Step 4: Simplify right side
    506,775x = 465,932,179,760.06
  5. Step 5: Solve for x
    x = 465,932,179,760.06/506,775
  6. Step 6: Final answer
    x = 919,406.40

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.