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Finding the Third Proportional to 428,852 and 602,452

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Solution

The third proportional to 428,852 and 602,452 is: 846,325.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,852 : 602,452 = 602,452 : x
  2. Step 2: Convert to fraction form
    428,852/602,452 = 602,452/x
  3. Step 3: Cross multiply
    428,852x = 602,452 × 602,452
  4. Step 4: Simplify right side
    428,852x = 362,948,412,304
  5. Step 5: Solve for x
    x = 362,948,412,304/428,852
  6. Step 6: Final answer
    x = 846,325.57

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.