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Finding the Third Proportional to 304,818.13 and 669,971.88

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Solution

The third proportional to 304,818.13 and 669,971.88 is: 1,472,557.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,818.13 : 669,971.88 = 669,971.88 : x
  2. Step 2: Convert to fraction form
    304,818.13/669,971.88 = 669,971.88/x
  3. Step 3: Cross multiply
    304,818.13x = 669,971.88 × 669,971.88
  4. Step 4: Simplify right side
    304,818.13x = 448,862,313,291.02
  5. Step 5: Solve for x
    x = 448,862,313,291.02/304,818.13
  6. Step 6: Final answer
    x = 1,472,557.82

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