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Finding the Third Proportional to 304,304.63 and 661,096.13

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Solution

The third proportional to 304,304.63 and 661,096.13 is: 1,436,219.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,304.63 : 661,096.13 = 661,096.13 : x
  2. Step 2: Convert to fraction form
    304,304.63/661,096.13 = 661,096.13/x
  3. Step 3: Cross multiply
    304,304.63x = 661,096.13 × 661,096.13
  4. Step 4: Simplify right side
    304,304.63x = 437,048,086,490.02
  5. Step 5: Solve for x
    x = 437,048,086,490.02/304,304.63
  6. Step 6: Final answer
    x = 1,436,219.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.