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Finding the Third Proportional to 302,112 and 705,600

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Solution

The third proportional to 302,112 and 705,600 is: 1,647,969.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,112 : 705,600 = 705,600 : x
  2. Step 2: Convert to fraction form
    302,112/705,600 = 705,600/x
  3. Step 3: Cross multiply
    302,112x = 705,600 × 705,600
  4. Step 4: Simplify right side
    302,112x = 497,871,360,000
  5. Step 5: Solve for x
    x = 497,871,360,000/302,112
  6. Step 6: Final answer
    x = 1,647,969.49

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.