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Finding the Third Proportional to 352,722 and 740,388

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Solution

The third proportional to 352,722 and 740,388 is: 1,554,125.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,722 : 740,388 = 740,388 : x
  2. Step 2: Convert to fraction form
    352,722/740,388 = 740,388/x
  3. Step 3: Cross multiply
    352,722x = 740,388 × 740,388
  4. Step 4: Simplify right side
    352,722x = 548,174,390,544
  5. Step 5: Solve for x
    x = 548,174,390,544/352,722
  6. Step 6: Final answer
    x = 1,554,125.89

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.