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Finding the Third Proportional to 201,462 and 430,582

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Solution

The third proportional to 201,462 and 430,582 is: 920,277.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,462 : 430,582 = 430,582 : x
  2. Step 2: Convert to fraction form
    201,462/430,582 = 430,582/x
  3. Step 3: Cross multiply
    201,462x = 430,582 × 430,582
  4. Step 4: Simplify right side
    201,462x = 185,400,858,724
  5. Step 5: Solve for x
    x = 185,400,858,724/201,462
  6. Step 6: Final answer
    x = 920,277.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.