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Finding the Third Proportional to 240,284 and 360,426

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Solution

The third proportional to 240,284 and 360,426 is: 540,639

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,284 : 360,426 = 360,426 : x
  2. Step 2: Convert to fraction form
    240,284/360,426 = 360,426/x
  3. Step 3: Cross multiply
    240,284x = 360,426 × 360,426
  4. Step 4: Simplify right side
    240,284x = 129,906,901,476
  5. Step 5: Solve for x
    x = 129,906,901,476/240,284
  6. Step 6: Final answer
    x = 540,639

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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.