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Finding the Third Proportional to 412,818 and 837,255

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Solution

The third proportional to 412,818 and 837,255 is: 1,698,075.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,818 : 837,255 = 837,255 : x
  2. Step 2: Convert to fraction form
    412,818/837,255 = 837,255/x
  3. Step 3: Cross multiply
    412,818x = 837,255 × 837,255
  4. Step 4: Simplify right side
    412,818x = 700,995,935,025
  5. Step 5: Solve for x
    x = 700,995,935,025/412,818
  6. Step 6: Final answer
    x = 1,698,075.02

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.