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Finding the Third Proportional to 305,673.16 and 670,395.28

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Solution

The third proportional to 305,673.16 and 670,395.28 is: 1,470,295.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,673.16 : 670,395.28 = 670,395.28 : x
  2. Step 2: Convert to fraction form
    305,673.16/670,395.28 = 670,395.28/x
  3. Step 3: Cross multiply
    305,673.16x = 670,395.28 × 670,395.28
  4. Step 4: Simplify right side
    305,673.16x = 449,429,833,122.27
  5. Step 5: Solve for x
    x = 449,429,833,122.27/305,673.16
  6. Step 6: Final answer
    x = 1,470,295.39

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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.