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Finding the Third Proportional to 272,814 and 413,433

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Solution

The third proportional to 272,814 and 413,433 is: 626,532.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,814 : 413,433 = 413,433 : x
  2. Step 2: Convert to fraction form
    272,814/413,433 = 413,433/x
  3. Step 3: Cross multiply
    272,814x = 413,433 × 413,433
  4. Step 4: Simplify right side
    272,814x = 170,926,845,489
  5. Step 5: Solve for x
    x = 170,926,845,489/272,814
  6. Step 6: Final answer
    x = 626,532.53

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.