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Finding the Third Proportional to 402,536 and 853,024

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Solution

The third proportional to 402,536 and 853,024 is: 1,807,664.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,536 : 853,024 = 853,024 : x
  2. Step 2: Convert to fraction form
    402,536/853,024 = 853,024/x
  3. Step 3: Cross multiply
    402,536x = 853,024 × 853,024
  4. Step 4: Simplify right side
    402,536x = 727,649,944,576
  5. Step 5: Solve for x
    x = 727,649,944,576/402,536
  6. Step 6: Final answer
    x = 1,807,664.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.