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Finding the Third Proportional to 385,273 and 837,290

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Solution

The third proportional to 385,273 and 837,290 is: 1,819,630.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,273 : 837,290 = 837,290 : x
  2. Step 2: Convert to fraction form
    385,273/837,290 = 837,290/x
  3. Step 3: Cross multiply
    385,273x = 837,290 × 837,290
  4. Step 4: Simplify right side
    385,273x = 701,054,544,100
  5. Step 5: Solve for x
    x = 701,054,544,100/385,273
  6. Step 6: Final answer
    x = 1,819,630.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.