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Finding the Third Proportional to 233,863 and 364,485

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Solution

The third proportional to 233,863 and 364,485 is: 568,064.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,863 : 364,485 = 364,485 : x
  2. Step 2: Convert to fraction form
    233,863/364,485 = 364,485/x
  3. Step 3: Cross multiply
    233,863x = 364,485 × 364,485
  4. Step 4: Simplify right side
    233,863x = 132,849,315,225
  5. Step 5: Solve for x
    x = 132,849,315,225/233,863
  6. Step 6: Final answer
    x = 568,064.70

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.