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Finding the Third Proportional to 427,522 and 601,302

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Solution

The third proportional to 427,522 and 601,302 is: 845,720.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,522 : 601,302 = 601,302 : x
  2. Step 2: Convert to fraction form
    427,522/601,302 = 601,302/x
  3. Step 3: Cross multiply
    427,522x = 601,302 × 601,302
  4. Step 4: Simplify right side
    427,522x = 361,564,095,204
  5. Step 5: Solve for x
    x = 361,564,095,204/427,522
  6. Step 6: Final answer
    x = 845,720.44

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.