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Finding the Third Proportional to 252,229 and 535,202

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Solution

The third proportional to 252,229 and 535,202 is: 1,135,639.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,229 : 535,202 = 535,202 : x
  2. Step 2: Convert to fraction form
    252,229/535,202 = 535,202/x
  3. Step 3: Cross multiply
    252,229x = 535,202 × 535,202
  4. Step 4: Simplify right side
    252,229x = 286,441,180,804
  5. Step 5: Solve for x
    x = 286,441,180,804/252,229
  6. Step 6: Final answer
    x = 1,135,639.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.