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Finding the Third Proportional to 402,094 and 804,148

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Solution

The third proportional to 402,094 and 804,148 is: 1,608,216.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,094 : 804,148 = 804,148 : x
  2. Step 2: Convert to fraction form
    402,094/804,148 = 804,148/x
  3. Step 3: Cross multiply
    402,094x = 804,148 × 804,148
  4. Step 4: Simplify right side
    402,094x = 646,654,005,904
  5. Step 5: Solve for x
    x = 646,654,005,904/402,094
  6. Step 6: Final answer
    x = 1,608,216.00

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.