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Finding the Third Proportional to 529,654 and 810,376

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Solution

The third proportional to 529,654 and 810,376 is: 1,239,883.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,654 : 810,376 = 810,376 : x
  2. Step 2: Convert to fraction form
    529,654/810,376 = 810,376/x
  3. Step 3: Cross multiply
    529,654x = 810,376 × 810,376
  4. Step 4: Simplify right side
    529,654x = 656,709,261,376
  5. Step 5: Solve for x
    x = 656,709,261,376/529,654
  6. Step 6: Final answer
    x = 1,239,883.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.