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Finding the Third Proportional to 233,805 and 511,359

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Solution

The third proportional to 233,805 and 511,359 is: 1,118,402.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,805 : 511,359 = 511,359 : x
  2. Step 2: Convert to fraction form
    233,805/511,359 = 511,359/x
  3. Step 3: Cross multiply
    233,805x = 511,359 × 511,359
  4. Step 4: Simplify right side
    233,805x = 261,488,026,881
  5. Step 5: Solve for x
    x = 261,488,026,881/233,805
  6. Step 6: Final answer
    x = 1,118,402.20

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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.