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Finding the Third Proportional to 193,559.63 and 455,412.38

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Solution

The third proportional to 193,559.63 and 455,412.38 is: 1,071,506.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,559.63 : 455,412.38 = 455,412.38 : x
  2. Step 2: Convert to fraction form
    193,559.63/455,412.38 = 455,412.38/x
  3. Step 3: Cross multiply
    193,559.63x = 455,412.38 × 455,412.38
  4. Step 4: Simplify right side
    193,559.63x = 207,400,431,303.14
  5. Step 5: Solve for x
    x = 207,400,431,303.14/193,559.63
  6. Step 6: Final answer
    x = 1,071,506.68

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.