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Finding the Third Proportional to 233,073 and 509,886

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Solution

The third proportional to 233,073 and 509,886 is: 1,115,460.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,073 : 509,886 = 509,886 : x
  2. Step 2: Convert to fraction form
    233,073/509,886 = 509,886/x
  3. Step 3: Cross multiply
    233,073x = 509,886 × 509,886
  4. Step 4: Simplify right side
    233,073x = 259,983,732,996
  5. Step 5: Solve for x
    x = 259,983,732,996/233,073
  6. Step 6: Final answer
    x = 1,115,460.53

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Why These Related Problems?

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