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Finding the Third Proportional to 452,665.13 and 683,610.19

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Solution

The third proportional to 452,665.13 and 683,610.19 is: 1,032,381.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,665.13 : 683,610.19 = 683,610.19 : x
  2. Step 2: Convert to fraction form
    452,665.13/683,610.19 = 683,610.19/x
  3. Step 3: Cross multiply
    452,665.13x = 683,610.19 × 683,610.19
  4. Step 4: Simplify right side
    452,665.13x = 467,322,888,453.79
  5. Step 5: Solve for x
    x = 467,322,888,453.79/452,665.13
  6. Step 6: Final answer
    x = 1,032,381.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.