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Finding the Third Proportional to 338,114.25 and 713,952

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Solution

The third proportional to 338,114.25 and 713,952 is: 1,507,559.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,114.25 : 713,952 = 713,952 : x
  2. Step 2: Convert to fraction form
    338,114.25/713,952 = 713,952/x
  3. Step 3: Cross multiply
    338,114.25x = 713,952 × 713,952
  4. Step 4: Simplify right side
    338,114.25x = 509,727,458,304
  5. Step 5: Solve for x
    x = 509,727,458,304/338,114.25
  6. Step 6: Final answer
    x = 1,507,559.82

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.