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Finding the Third Proportional to 360,506.25 and 834,548.63

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Solution

The third proportional to 360,506.25 and 834,548.63 is: 1,931,926.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,506.25 : 834,548.63 = 834,548.63 : x
  2. Step 2: Convert to fraction form
    360,506.25/834,548.63 = 834,548.63/x
  3. Step 3: Cross multiply
    360,506.25x = 834,548.63 × 834,548.63
  4. Step 4: Simplify right side
    360,506.25x = 696,471,407,489.39
  5. Step 5: Solve for x
    x = 696,471,407,489.39/360,506.25
  6. Step 6: Final answer
    x = 1,931,926.03

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.