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Finding the Third Proportional to 233,289 and 511,776

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Solution

The third proportional to 233,289 and 511,776 is: 1,122,704.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,289 : 511,776 = 511,776 : x
  2. Step 2: Convert to fraction form
    233,289/511,776 = 511,776/x
  3. Step 3: Cross multiply
    233,289x = 511,776 × 511,776
  4. Step 4: Simplify right side
    233,289x = 261,914,674,176
  5. Step 5: Solve for x
    x = 261,914,674,176/233,289
  6. Step 6: Final answer
    x = 1,122,704.77

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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.