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Finding the Third Proportional to 288,480 and 447,840

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Solution

The third proportional to 288,480 and 447,840 is: 695,232.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,480 : 447,840 = 447,840 : x
  2. Step 2: Convert to fraction form
    288,480/447,840 = 447,840/x
  3. Step 3: Cross multiply
    288,480x = 447,840 × 447,840
  4. Step 4: Simplify right side
    288,480x = 200,560,665,600
  5. Step 5: Solve for x
    x = 200,560,665,600/288,480
  6. Step 6: Final answer
    x = 695,232.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.