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Finding the Third Proportional to 402,284 and 837,939

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Solution

The third proportional to 402,284 and 837,939 is: 1,745,388.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,284 : 837,939 = 837,939 : x
  2. Step 2: Convert to fraction form
    402,284/837,939 = 837,939/x
  3. Step 3: Cross multiply
    402,284x = 837,939 × 837,939
  4. Step 4: Simplify right side
    402,284x = 702,141,767,721
  5. Step 5: Solve for x
    x = 702,141,767,721/402,284
  6. Step 6: Final answer
    x = 1,745,388.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.