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Finding the Third Proportional to 536,334 and 795,224

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Solution

The third proportional to 536,334 and 795,224 is: 1,179,080.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,334 : 795,224 = 795,224 : x
  2. Step 2: Convert to fraction form
    536,334/795,224 = 795,224/x
  3. Step 3: Cross multiply
    536,334x = 795,224 × 795,224
  4. Step 4: Simplify right side
    536,334x = 632,381,210,176
  5. Step 5: Solve for x
    x = 632,381,210,176/536,334
  6. Step 6: Final answer
    x = 1,179,080.96

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.