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Finding the Third Proportional to 316,979.44 and 464,090.06

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Solution

The third proportional to 316,979.44 and 464,090.06 is: 679,474.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,979.44 : 464,090.06 = 464,090.06 : x
  2. Step 2: Convert to fraction form
    316,979.44/464,090.06 = 464,090.06/x
  3. Step 3: Cross multiply
    316,979.44x = 464,090.06 × 464,090.06
  4. Step 4: Simplify right side
    316,979.44x = 215,379,586,111.25
  5. Step 5: Solve for x
    x = 215,379,586,111.25/316,979.44
  6. Step 6: Final answer
    x = 679,474.95

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.