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Finding the Third Proportional to 402,282 and 837,938

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Solution

The third proportional to 402,282 and 837,938 is: 1,745,392.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,282 : 837,938 = 837,938 : x
  2. Step 2: Convert to fraction form
    402,282/837,938 = 837,938/x
  3. Step 3: Cross multiply
    402,282x = 837,938 × 837,938
  4. Step 4: Simplify right side
    402,282x = 702,140,091,844
  5. Step 5: Solve for x
    x = 702,140,091,844/402,282
  6. Step 6: Final answer
    x = 1,745,392.76

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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.