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Finding the Third Proportional to 212,928 and 465,600

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Solution

The third proportional to 212,928 and 465,600 is: 1,018,106.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,928 : 465,600 = 465,600 : x
  2. Step 2: Convert to fraction form
    212,928/465,600 = 465,600/x
  3. Step 3: Cross multiply
    212,928x = 465,600 × 465,600
  4. Step 4: Simplify right side
    212,928x = 216,783,360,000
  5. Step 5: Solve for x
    x = 216,783,360,000/212,928
  6. Step 6: Final answer
    x = 1,018,106.40

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