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Finding the Third Proportional to 240,408 and 360,648

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Solution

The third proportional to 240,408 and 360,648 is: 541,026.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,408 : 360,648 = 360,648 : x
  2. Step 2: Convert to fraction form
    240,408/360,648 = 360,648/x
  3. Step 3: Cross multiply
    240,408x = 360,648 × 360,648
  4. Step 4: Simplify right side
    240,408x = 130,066,979,904
  5. Step 5: Solve for x
    x = 130,066,979,904/240,408
  6. Step 6: Final answer
    x = 541,026.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.