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Finding the Third Proportional to 304,538 and 484,967

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Solution

The third proportional to 304,538 and 484,967 is: 772,294.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,538 : 484,967 = 484,967 : x
  2. Step 2: Convert to fraction form
    304,538/484,967 = 484,967/x
  3. Step 3: Cross multiply
    304,538x = 484,967 × 484,967
  4. Step 4: Simplify right side
    304,538x = 235,192,991,089
  5. Step 5: Solve for x
    x = 235,192,991,089/304,538
  6. Step 6: Final answer
    x = 772,294.40

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.