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Finding the Third Proportional to 233,577 and 512,370

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Solution

The third proportional to 233,577 and 512,370 is: 1,123,924.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,577 : 512,370 = 512,370 : x
  2. Step 2: Convert to fraction form
    233,577/512,370 = 512,370/x
  3. Step 3: Cross multiply
    233,577x = 512,370 × 512,370
  4. Step 4: Simplify right side
    233,577x = 262,523,016,900
  5. Step 5: Solve for x
    x = 262,523,016,900/233,577
  6. Step 6: Final answer
    x = 1,123,924.95

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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.