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Finding the Third Proportional to 481,337 and 748,330

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Solution

The third proportional to 481,337 and 748,330 is: 1,163,421.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,337 : 748,330 = 748,330 : x
  2. Step 2: Convert to fraction form
    481,337/748,330 = 748,330/x
  3. Step 3: Cross multiply
    481,337x = 748,330 × 748,330
  4. Step 4: Simplify right side
    481,337x = 559,997,788,900
  5. Step 5: Solve for x
    x = 559,997,788,900/481,337
  6. Step 6: Final answer
    x = 1,163,421.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.