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Finding the Third Proportional to 367,947 and 539,803

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Solution

The third proportional to 367,947 and 539,803 is: 791,927.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,947 : 539,803 = 539,803 : x
  2. Step 2: Convert to fraction form
    367,947/539,803 = 539,803/x
  3. Step 3: Cross multiply
    367,947x = 539,803 × 539,803
  4. Step 4: Simplify right side
    367,947x = 291,387,278,809
  5. Step 5: Solve for x
    x = 291,387,278,809/367,947
  6. Step 6: Final answer
    x = 791,927.31

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.