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Finding the Third Proportional to 289,394 and 452,614

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Solution

The third proportional to 289,394 and 452,614 is: 707,891.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,394 : 452,614 = 452,614 : x
  2. Step 2: Convert to fraction form
    289,394/452,614 = 452,614/x
  3. Step 3: Cross multiply
    289,394x = 452,614 × 452,614
  4. Step 4: Simplify right side
    289,394x = 204,859,432,996
  5. Step 5: Solve for x
    x = 204,859,432,996/289,394
  6. Step 6: Final answer
    x = 707,891.09

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.