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Finding the Third Proportional to 364,402 and 799,004

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Solution

The third proportional to 364,402 and 799,004 is: 1,751,931.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,402 : 799,004 = 799,004 : x
  2. Step 2: Convert to fraction form
    364,402/799,004 = 799,004/x
  3. Step 3: Cross multiply
    364,402x = 799,004 × 799,004
  4. Step 4: Simplify right side
    364,402x = 638,407,392,016
  5. Step 5: Solve for x
    x = 638,407,392,016/364,402
  6. Step 6: Final answer
    x = 1,751,931.64

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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.