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Finding the Third Proportional to 254,210 and 552,685

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Solution

The third proportional to 254,210 and 552,685 is: 1,201,607.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,210 : 552,685 = 552,685 : x
  2. Step 2: Convert to fraction form
    254,210/552,685 = 552,685/x
  3. Step 3: Cross multiply
    254,210x = 552,685 × 552,685
  4. Step 4: Simplify right side
    254,210x = 305,460,709,225
  5. Step 5: Solve for x
    x = 305,460,709,225/254,210
  6. Step 6: Final answer
    x = 1,201,607.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.