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Finding the Third Proportional to 304,536 and 484,964

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Solution

The third proportional to 304,536 and 484,964 is: 772,289.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,536 : 484,964 = 484,964 : x
  2. Step 2: Convert to fraction form
    304,536/484,964 = 484,964/x
  3. Step 3: Cross multiply
    304,536x = 484,964 × 484,964
  4. Step 4: Simplify right side
    304,536x = 235,190,081,296
  5. Step 5: Solve for x
    x = 235,190,081,296/304,536
  6. Step 6: Final answer
    x = 772,289.91

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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.