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Finding the Third Proportional to 304,416 and 484,815

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Solution

The third proportional to 304,416 and 484,815 is: 772,119.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,416 : 484,815 = 484,815 : x
  2. Step 2: Convert to fraction form
    304,416/484,815 = 484,815/x
  3. Step 3: Cross multiply
    304,416x = 484,815 × 484,815
  4. Step 4: Simplify right side
    304,416x = 235,045,584,225
  5. Step 5: Solve for x
    x = 235,045,584,225/304,416
  6. Step 6: Final answer
    x = 772,119.68

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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.