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Finding the Third Proportional to 367,947 and 539,806.50

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Solution

The third proportional to 367,947 and 539,806.50 is: 791,937.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,947 : 539,806.50 = 539,806.50 : x
  2. Step 2: Convert to fraction form
    367,947/539,806.50 = 539,806.50/x
  3. Step 3: Cross multiply
    367,947x = 539,806.50 × 539,806.50
  4. Step 4: Simplify right side
    367,947x = 291,391,057,442.25
  5. Step 5: Solve for x
    x = 291,391,057,442.25/367,947
  6. Step 6: Final answer
    x = 791,937.58

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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.