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Finding the Third Proportional to 533,216 and 817,643

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Solution

The third proportional to 533,216 and 817,643 is: 1,253,788.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,216 : 817,643 = 817,643 : x
  2. Step 2: Convert to fraction form
    533,216/817,643 = 817,643/x
  3. Step 3: Cross multiply
    533,216x = 817,643 × 817,643
  4. Step 4: Simplify right side
    533,216x = 668,540,075,449
  5. Step 5: Solve for x
    x = 668,540,075,449/533,216
  6. Step 6: Final answer
    x = 1,253,788.47

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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.