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Finding the Third Proportional to 462,272 and 733,520

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Solution

The third proportional to 462,272 and 733,520 is: 1,163,928.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,272 : 733,520 = 733,520 : x
  2. Step 2: Convert to fraction form
    462,272/733,520 = 733,520/x
  3. Step 3: Cross multiply
    462,272x = 733,520 × 733,520
  4. Step 4: Simplify right side
    462,272x = 538,051,590,400
  5. Step 5: Solve for x
    x = 538,051,590,400/462,272
  6. Step 6: Final answer
    x = 1,163,928.58

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.