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Finding the Third Proportional to 402,324 and 837,716

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Solution

The third proportional to 402,324 and 837,716 is: 1,744,285.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,324 : 837,716 = 837,716 : x
  2. Step 2: Convert to fraction form
    402,324/837,716 = 837,716/x
  3. Step 3: Cross multiply
    402,324x = 837,716 × 837,716
  4. Step 4: Simplify right side
    402,324x = 701,768,096,656
  5. Step 5: Solve for x
    x = 701,768,096,656/402,324
  6. Step 6: Final answer
    x = 1,744,285.94

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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.