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Finding the Third Proportional to 273,678.28 and 435,813.14

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Solution

The third proportional to 273,678.28 and 435,813.14 is: 694,001.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,678.28 : 435,813.14 = 435,813.14 : x
  2. Step 2: Convert to fraction form
    273,678.28/435,813.14 = 435,813.14/x
  3. Step 3: Cross multiply
    273,678.28x = 435,813.14 × 435,813.14
  4. Step 4: Simplify right side
    273,678.28x = 189,933,096,095.02
  5. Step 5: Solve for x
    x = 189,933,096,095.02/273,678.28
  6. Step 6: Final answer
    x = 694,001.36

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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.