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Finding the Third Proportional to 233,554 and 510,731

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Solution

The third proportional to 233,554 and 510,731 is: 1,116,855.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,554 : 510,731 = 510,731 : x
  2. Step 2: Convert to fraction form
    233,554/510,731 = 510,731/x
  3. Step 3: Cross multiply
    233,554x = 510,731 × 510,731
  4. Step 4: Simplify right side
    233,554x = 260,846,154,361
  5. Step 5: Solve for x
    x = 260,846,154,361/233,554
  6. Step 6: Final answer
    x = 1,116,855.86

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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.