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Finding the Third Proportional to 233,289 and 510,405.75

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Solution

The third proportional to 233,289 and 510,405.75 is: 1,116,700.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,289 : 510,405.75 = 510,405.75 : x
  2. Step 2: Convert to fraction form
    233,289/510,405.75 = 510,405.75/x
  3. Step 3: Cross multiply
    233,289x = 510,405.75 × 510,405.75
  4. Step 4: Simplify right side
    233,289x = 260,514,029,633.06
  5. Step 5: Solve for x
    x = 260,514,029,633.06/233,289
  6. Step 6: Final answer
    x = 1,116,700.87

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.