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Finding the Third Proportional to 310,440 and 474,682.50

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Solution

The third proportional to 310,440 and 474,682.50 is: 725,819.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,440 : 474,682.50 = 474,682.50 : x
  2. Step 2: Convert to fraction form
    310,440/474,682.50 = 474,682.50/x
  3. Step 3: Cross multiply
    310,440x = 474,682.50 × 474,682.50
  4. Step 4: Simplify right side
    310,440x = 225,323,475,806.25
  5. Step 5: Solve for x
    x = 225,323,475,806.25/310,440
  6. Step 6: Final answer
    x = 725,819.73

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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.