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Finding the Third Proportional to 252,050 and 545,476

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Solution

The third proportional to 252,050 and 545,476 is: 1,180,496.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,050 : 545,476 = 545,476 : x
  2. Step 2: Convert to fraction form
    252,050/545,476 = 545,476/x
  3. Step 3: Cross multiply
    252,050x = 545,476 × 545,476
  4. Step 4: Simplify right side
    252,050x = 297,544,066,576
  5. Step 5: Solve for x
    x = 297,544,066,576/252,050
  6. Step 6: Final answer
    x = 1,180,496.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.