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Finding the Third Proportional to 310,625.81 and 679,409.63

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Solution

The third proportional to 310,625.81 and 679,409.63 is: 1,486,024.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,625.81 : 679,409.63 = 679,409.63 : x
  2. Step 2: Convert to fraction form
    310,625.81/679,409.63 = 679,409.63/x
  3. Step 3: Cross multiply
    310,625.81x = 679,409.63 × 679,409.63
  4. Step 4: Simplify right side
    310,625.81x = 461,597,438,542.64
  5. Step 5: Solve for x
    x = 461,597,438,542.64/310,625.81
  6. Step 6: Final answer
    x = 1,486,024.08

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.