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Finding the Third Proportional to 294,178 and 635,004

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Solution

The third proportional to 294,178 and 635,004 is: 1,370,701.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,178 : 635,004 = 635,004 : x
  2. Step 2: Convert to fraction form
    294,178/635,004 = 635,004/x
  3. Step 3: Cross multiply
    294,178x = 635,004 × 635,004
  4. Step 4: Simplify right side
    294,178x = 403,230,080,016
  5. Step 5: Solve for x
    x = 403,230,080,016/294,178
  6. Step 6: Final answer
    x = 1,370,701.00

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