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Finding the Third Proportional to 495,672.75 and 787,795.88

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Solution

The third proportional to 495,672.75 and 787,795.88 is: 1,252,080.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,672.75 : 787,795.88 = 787,795.88 : x
  2. Step 2: Convert to fraction form
    495,672.75/787,795.88 = 787,795.88/x
  3. Step 3: Cross multiply
    495,672.75x = 787,795.88 × 787,795.88
  4. Step 4: Simplify right side
    495,672.75x = 620,622,340,667.02
  5. Step 5: Solve for x
    x = 620,622,340,667.02/495,672.75
  6. Step 6: Final answer
    x = 1,252,080.81

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.