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Finding the Third Proportional to 367,946 and 539,807

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Solution

The third proportional to 367,946 and 539,807 is: 791,941.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,946 : 539,807 = 539,807 : x
  2. Step 2: Convert to fraction form
    367,946/539,807 = 539,807/x
  3. Step 3: Cross multiply
    367,946x = 539,807 × 539,807
  4. Step 4: Simplify right side
    367,946x = 291,391,597,249
  5. Step 5: Solve for x
    x = 291,391,597,249/367,946
  6. Step 6: Final answer
    x = 791,941.20

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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.