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Finding the Third Proportional to 529,650 and 810,370

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Solution

The third proportional to 529,650 and 810,370 is: 1,239,874.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,650 : 810,370 = 810,370 : x
  2. Step 2: Convert to fraction form
    529,650/810,370 = 810,370/x
  3. Step 3: Cross multiply
    529,650x = 810,370 × 810,370
  4. Step 4: Simplify right side
    529,650x = 656,699,536,900
  5. Step 5: Solve for x
    x = 656,699,536,900/529,650
  6. Step 6: Final answer
    x = 1,239,874.52

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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.