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Finding the Third Proportional to 376,746 and 528,009

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Solution

The third proportional to 376,746 and 528,009 is: 740,003.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,746 : 528,009 = 528,009 : x
  2. Step 2: Convert to fraction form
    376,746/528,009 = 528,009/x
  3. Step 3: Cross multiply
    376,746x = 528,009 × 528,009
  4. Step 4: Simplify right side
    376,746x = 278,793,504,081
  5. Step 5: Solve for x
    x = 278,793,504,081/376,746
  6. Step 6: Final answer
    x = 740,003.89

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.