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Finding the Third Proportional to 312,907.50 and 672,970

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Solution

The third proportional to 312,907.50 and 672,970 is: 1,447,356.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,907.50 : 672,970 = 672,970 : x
  2. Step 2: Convert to fraction form
    312,907.50/672,970 = 672,970/x
  3. Step 3: Cross multiply
    312,907.50x = 672,970 × 672,970
  4. Step 4: Simplify right side
    312,907.50x = 452,888,620,900
  5. Step 5: Solve for x
    x = 452,888,620,900/312,907.50
  6. Step 6: Final answer
    x = 1,447,356.23

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.