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Finding the Third Proportional to 365,876 and 801,712

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Solution

The third proportional to 365,876 and 801,712 is: 1,756,721.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,876 : 801,712 = 801,712 : x
  2. Step 2: Convert to fraction form
    365,876/801,712 = 801,712/x
  3. Step 3: Cross multiply
    365,876x = 801,712 × 801,712
  4. Step 4: Simplify right side
    365,876x = 642,742,130,944
  5. Step 5: Solve for x
    x = 642,742,130,944/365,876
  6. Step 6: Final answer
    x = 1,756,721.21

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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.