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Finding the Third Proportional to 312,437.25 and 473,033.25

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Solution

The third proportional to 312,437.25 and 473,033.25 is: 716,177.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,437.25 : 473,033.25 = 473,033.25 : x
  2. Step 2: Convert to fraction form
    312,437.25/473,033.25 = 473,033.25/x
  3. Step 3: Cross multiply
    312,437.25x = 473,033.25 × 473,033.25
  4. Step 4: Simplify right side
    312,437.25x = 223,760,455,605.56
  5. Step 5: Solve for x
    x = 223,760,455,605.56/312,437.25
  6. Step 6: Final answer
    x = 716,177.27

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.