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Finding the Third Proportional to 275,288.63 and 435,091.50

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Solution

The third proportional to 275,288.63 and 435,091.50 is: 687,658.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,288.63 : 435,091.50 = 435,091.50 : x
  2. Step 2: Convert to fraction form
    275,288.63/435,091.50 = 435,091.50/x
  3. Step 3: Cross multiply
    275,288.63x = 435,091.50 × 435,091.50
  4. Step 4: Simplify right side
    275,288.63x = 189,304,613,372.25
  5. Step 5: Solve for x
    x = 189,304,613,372.25/275,288.63
  6. Step 6: Final answer
    x = 687,658.68

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.