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Finding the Third Proportional to 374,260 and 818,503

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Solution

The third proportional to 374,260 and 818,503 is: 1,790,058.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,260 : 818,503 = 818,503 : x
  2. Step 2: Convert to fraction form
    374,260/818,503 = 818,503/x
  3. Step 3: Cross multiply
    374,260x = 818,503 × 818,503
  4. Step 4: Simplify right side
    374,260x = 669,947,161,009
  5. Step 5: Solve for x
    x = 669,947,161,009/374,260
  6. Step 6: Final answer
    x = 1,790,058.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.