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Finding the Third Proportional to 285,336 and 607,536

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Solution

The third proportional to 285,336 and 607,536 is: 1,293,562.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,336 : 607,536 = 607,536 : x
  2. Step 2: Convert to fraction form
    285,336/607,536 = 607,536/x
  3. Step 3: Cross multiply
    285,336x = 607,536 × 607,536
  4. Step 4: Simplify right side
    285,336x = 369,099,991,296
  5. Step 5: Solve for x
    x = 369,099,991,296/285,336
  6. Step 6: Final answer
    x = 1,293,562.65

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.