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Finding the Third Proportional to 526,358 and 799,383

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Solution

The third proportional to 526,358 and 799,383 is: 1,214,027.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,358 : 799,383 = 799,383 : x
  2. Step 2: Convert to fraction form
    526,358/799,383 = 799,383/x
  3. Step 3: Cross multiply
    526,358x = 799,383 × 799,383
  4. Step 4: Simplify right side
    526,358x = 639,013,180,689
  5. Step 5: Solve for x
    x = 639,013,180,689/526,358
  6. Step 6: Final answer
    x = 1,214,027.68

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.