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Finding the Third Proportional to 233,575.88 and 510,769.13

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Solution

The third proportional to 233,575.88 and 510,769.13 is: 1,116,918.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,575.88 : 510,769.13 = 510,769.13 : x
  2. Step 2: Convert to fraction form
    233,575.88/510,769.13 = 510,769.13/x
  3. Step 3: Cross multiply
    233,575.88x = 510,769.13 × 510,769.13
  4. Step 4: Simplify right side
    233,575.88x = 260,885,099,053.27
  5. Step 5: Solve for x
    x = 260,885,099,053.27/233,575.88
  6. Step 6: Final answer
    x = 1,116,918.00

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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.