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Finding the Third Proportional to 402,142 and 837,356

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Solution

The third proportional to 402,142 and 837,356 is: 1,743,575.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,142 : 837,356 = 837,356 : x
  2. Step 2: Convert to fraction form
    402,142/837,356 = 837,356/x
  3. Step 3: Cross multiply
    402,142x = 837,356 × 837,356
  4. Step 4: Simplify right side
    402,142x = 701,165,070,736
  5. Step 5: Solve for x
    x = 701,165,070,736/402,142
  6. Step 6: Final answer
    x = 1,743,575.83

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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.