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Finding the Third Proportional to 284,907.38 and 607,950.56

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Solution

The third proportional to 284,907.38 and 607,950.56 is: 1,297,277.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,907.38 : 607,950.56 = 607,950.56 : x
  2. Step 2: Convert to fraction form
    284,907.38/607,950.56 = 607,950.56/x
  3. Step 3: Cross multiply
    284,907.38x = 607,950.56 × 607,950.56
  4. Step 4: Simplify right side
    284,907.38x = 369,603,886,444.07
  5. Step 5: Solve for x
    x = 369,603,886,444.07/284,907.38
  6. Step 6: Final answer
    x = 1,297,277.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.