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Finding the Third Proportional to 316,026 and 513,416.25

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Solution

The third proportional to 316,026 and 513,416.25 is: 834,096.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,026 : 513,416.25 = 513,416.25 : x
  2. Step 2: Convert to fraction form
    316,026/513,416.25 = 513,416.25/x
  3. Step 3: Cross multiply
    316,026x = 513,416.25 × 513,416.25
  4. Step 4: Simplify right side
    316,026x = 263,596,245,764.06
  5. Step 5: Solve for x
    x = 263,596,245,764.06/316,026
  6. Step 6: Final answer
    x = 834,096.71

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.