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Finding the Third Proportional to 201,359 and 433,575

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Solution

The third proportional to 201,359 and 433,575 is: 933,592.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,359 : 433,575 = 433,575 : x
  2. Step 2: Convert to fraction form
    201,359/433,575 = 433,575/x
  3. Step 3: Cross multiply
    201,359x = 433,575 × 433,575
  4. Step 4: Simplify right side
    201,359x = 187,987,280,625
  5. Step 5: Solve for x
    x = 187,987,280,625/201,359
  6. Step 6: Final answer
    x = 933,592.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.