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Finding the Third Proportional to 531,984 and 799,272

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Solution

The third proportional to 531,984 and 799,272 is: 1,200,855.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,984 : 799,272 = 799,272 : x
  2. Step 2: Convert to fraction form
    531,984/799,272 = 799,272/x
  3. Step 3: Cross multiply
    531,984x = 799,272 × 799,272
  4. Step 4: Simplify right side
    531,984x = 638,835,729,984
  5. Step 5: Solve for x
    x = 638,835,729,984/531,984
  6. Step 6: Final answer
    x = 1,200,855.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.