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Finding the Third Proportional to 304,003.13 and 659,926.13

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Solution

The third proportional to 304,003.13 and 659,926.13 is: 1,432,559.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,003.13 : 659,926.13 = 659,926.13 : x
  2. Step 2: Convert to fraction form
    304,003.13/659,926.13 = 659,926.13/x
  3. Step 3: Cross multiply
    304,003.13x = 659,926.13 × 659,926.13
  4. Step 4: Simplify right side
    304,003.13x = 435,502,490,457.52
  5. Step 5: Solve for x
    x = 435,502,490,457.52/304,003.13
  6. Step 6: Final answer
    x = 1,432,559.26

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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.