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Finding the Third Proportional to 289,488.94 and 598,706.44

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Solution

The third proportional to 289,488.94 and 598,706.44 is: 1,238,214.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,488.94 : 598,706.44 = 598,706.44 : x
  2. Step 2: Convert to fraction form
    289,488.94/598,706.44 = 598,706.44/x
  3. Step 3: Cross multiply
    289,488.94x = 598,706.44 × 598,706.44
  4. Step 4: Simplify right side
    289,488.94x = 358,449,398,303.94
  5. Step 5: Solve for x
    x = 358,449,398,303.94/289,488.94
  6. Step 6: Final answer
    x = 1,238,214.49

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.