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Finding the Third Proportional to 230,476 and 500,312

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Solution

The third proportional to 230,476 and 500,312 is: 1,086,065.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,476 : 500,312 = 500,312 : x
  2. Step 2: Convert to fraction form
    230,476/500,312 = 500,312/x
  3. Step 3: Cross multiply
    230,476x = 500,312 × 500,312
  4. Step 4: Simplify right side
    230,476x = 250,312,097,344
  5. Step 5: Solve for x
    x = 250,312,097,344/230,476
  6. Step 6: Final answer
    x = 1,086,065.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.