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Finding the Third Proportional to 282,745.69 and 605,404.13

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Solution

The third proportional to 282,745.69 and 605,404.13 is: 1,296,267.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,745.69 : 605,404.13 = 605,404.13 : x
  2. Step 2: Convert to fraction form
    282,745.69/605,404.13 = 605,404.13/x
  3. Step 3: Cross multiply
    282,745.69x = 605,404.13 × 605,404.13
  4. Step 4: Simplify right side
    282,745.69x = 366,514,154,567.02
  5. Step 5: Solve for x
    x = 366,514,154,567.02/282,745.69
  6. Step 6: Final answer
    x = 1,296,267.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.