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Finding the Third Proportional to 302,042 and 705,425

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Solution

The third proportional to 302,042 and 705,425 is: 1,647,533.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,042 : 705,425 = 705,425 : x
  2. Step 2: Convert to fraction form
    302,042/705,425 = 705,425/x
  3. Step 3: Cross multiply
    302,042x = 705,425 × 705,425
  4. Step 4: Simplify right side
    302,042x = 497,624,430,625
  5. Step 5: Solve for x
    x = 497,624,430,625/302,042
  6. Step 6: Final answer
    x = 1,647,533.89

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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.