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Finding the Third Proportional to 305,898.75 and 670,891.50

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Solution

The third proportional to 305,898.75 and 670,891.50 is: 1,471,386.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,898.75 : 670,891.50 = 670,891.50 : x
  2. Step 2: Convert to fraction form
    305,898.75/670,891.50 = 670,891.50/x
  3. Step 3: Cross multiply
    305,898.75x = 670,891.50 × 670,891.50
  4. Step 4: Simplify right side
    305,898.75x = 450,095,404,772.25
  5. Step 5: Solve for x
    x = 450,095,404,772.25/305,898.75
  6. Step 6: Final answer
    x = 1,471,386.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.