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Finding the Third Proportional to 316,892.63 and 659,995.50

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Solution

The third proportional to 316,892.63 and 659,995.50 is: 1,374,579.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,892.63 : 659,995.50 = 659,995.50 : x
  2. Step 2: Convert to fraction form
    316,892.63/659,995.50 = 659,995.50/x
  3. Step 3: Cross multiply
    316,892.63x = 659,995.50 × 659,995.50
  4. Step 4: Simplify right side
    316,892.63x = 435,594,060,020.25
  5. Step 5: Solve for x
    x = 435,594,060,020.25/316,892.63
  6. Step 6: Final answer
    x = 1,374,579.35

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.