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Finding the Third Proportional to 302,048 and 705,440

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Solution

The third proportional to 302,048 and 705,440 is: 1,647,571.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,048 : 705,440 = 705,440 : x
  2. Step 2: Convert to fraction form
    302,048/705,440 = 705,440/x
  3. Step 3: Cross multiply
    302,048x = 705,440 × 705,440
  4. Step 4: Simplify right side
    302,048x = 497,645,593,600
  5. Step 5: Solve for x
    x = 497,645,593,600/302,048
  6. Step 6: Final answer
    x = 1,647,571.23

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.