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Finding the Third Proportional to 533,402 and 817,933

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Solution

The third proportional to 533,402 and 817,933 is: 1,254,240.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,402 : 817,933 = 817,933 : x
  2. Step 2: Convert to fraction form
    533,402/817,933 = 817,933/x
  3. Step 3: Cross multiply
    533,402x = 817,933 × 817,933
  4. Step 4: Simplify right side
    533,402x = 669,014,392,489
  5. Step 5: Solve for x
    x = 669,014,392,489/533,402
  6. Step 6: Final answer
    x = 1,254,240.50

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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.