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Finding the Third Proportional to 304,407 and 484,799

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Solution

The third proportional to 304,407 and 484,799 is: 772,091.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,407 : 484,799 = 484,799 : x
  2. Step 2: Convert to fraction form
    304,407/484,799 = 484,799/x
  3. Step 3: Cross multiply
    304,407x = 484,799 × 484,799
  4. Step 4: Simplify right side
    304,407x = 235,030,070,401
  5. Step 5: Solve for x
    x = 235,030,070,401/304,407
  6. Step 6: Final answer
    x = 772,091.54

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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.