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Finding the Third Proportional to 367,946 and 539,804

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Solution

The third proportional to 367,946 and 539,804 is: 791,932.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,946 : 539,804 = 539,804 : x
  2. Step 2: Convert to fraction form
    367,946/539,804 = 539,804/x
  3. Step 3: Cross multiply
    367,946x = 539,804 × 539,804
  4. Step 4: Simplify right side
    367,946x = 291,388,358,416
  5. Step 5: Solve for x
    x = 291,388,358,416/367,946
  6. Step 6: Final answer
    x = 791,932.40

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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.