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Finding the Third Proportional to 304,817.63 and 669,970.88

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Solution

The third proportional to 304,817.63 and 669,970.88 is: 1,472,555.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,817.63 : 669,970.88 = 669,970.88 : x
  2. Step 2: Convert to fraction form
    304,817.63/669,970.88 = 669,970.88/x
  3. Step 3: Cross multiply
    304,817.63x = 669,970.88 × 669,970.88
  4. Step 4: Simplify right side
    304,817.63x = 448,860,973,348.27
  5. Step 5: Solve for x
    x = 448,860,973,348.27/304,817.63
  6. Step 6: Final answer
    x = 1,472,555.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.