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Finding the Third Proportional to 374,043 and 801,678

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Solution

The third proportional to 374,043 and 801,678 is: 1,718,218.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,043 : 801,678 = 801,678 : x
  2. Step 2: Convert to fraction form
    374,043/801,678 = 801,678/x
  3. Step 3: Cross multiply
    374,043x = 801,678 × 801,678
  4. Step 4: Simplify right side
    374,043x = 642,687,615,684
  5. Step 5: Solve for x
    x = 642,687,615,684/374,043
  6. Step 6: Final answer
    x = 1,718,218.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.