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Finding the Third Proportional to 349,116 and 533,823

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Solution

The third proportional to 349,116 and 533,823 is: 816,253.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,116 : 533,823 = 533,823 : x
  2. Step 2: Convert to fraction form
    349,116/533,823 = 533,823/x
  3. Step 3: Cross multiply
    349,116x = 533,823 × 533,823
  4. Step 4: Simplify right side
    349,116x = 284,966,995,329
  5. Step 5: Solve for x
    x = 284,966,995,329/349,116
  6. Step 6: Final answer
    x = 816,253.04

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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.