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Finding the Third Proportional to 199,259 and 430,002

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Solution

The third proportional to 199,259 and 430,002 is: 927,946.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,259 : 430,002 = 430,002 : x
  2. Step 2: Convert to fraction form
    199,259/430,002 = 430,002/x
  3. Step 3: Cross multiply
    199,259x = 430,002 × 430,002
  4. Step 4: Simplify right side
    199,259x = 184,901,720,004
  5. Step 5: Solve for x
    x = 184,901,720,004/199,259
  6. Step 6: Final answer
    x = 927,946.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.