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Finding the Third Proportional to 310,905 and 475,380

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Solution

The third proportional to 310,905 and 475,380 is: 726,865.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,905 : 475,380 = 475,380 : x
  2. Step 2: Convert to fraction form
    310,905/475,380 = 475,380/x
  3. Step 3: Cross multiply
    310,905x = 475,380 × 475,380
  4. Step 4: Simplify right side
    310,905x = 225,986,144,400
  5. Step 5: Solve for x
    x = 225,986,144,400/310,905
  6. Step 6: Final answer
    x = 726,865.58

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.