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Finding the Third Proportional to 374,841 and 816,237

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Solution

The third proportional to 374,841 and 816,237 is: 1,777,401.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,841 : 816,237 = 816,237 : x
  2. Step 2: Convert to fraction form
    374,841/816,237 = 816,237/x
  3. Step 3: Cross multiply
    374,841x = 816,237 × 816,237
  4. Step 4: Simplify right side
    374,841x = 666,242,840,169
  5. Step 5: Solve for x
    x = 666,242,840,169/374,841
  6. Step 6: Final answer
    x = 1,777,401.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.