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Finding the Third Proportional to 492,986.25 and 779,949

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Solution

The third proportional to 492,986.25 and 779,949 is: 1,233,950.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,986.25 : 779,949 = 779,949 : x
  2. Step 2: Convert to fraction form
    492,986.25/779,949 = 779,949/x
  3. Step 3: Cross multiply
    492,986.25x = 779,949 × 779,949
  4. Step 4: Simplify right side
    492,986.25x = 608,320,442,601
  5. Step 5: Solve for x
    x = 608,320,442,601/492,986.25
  6. Step 6: Final answer
    x = 1,233,950.12

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.