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Finding the Third Proportional to 230,922 and 480,312

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Solution

The third proportional to 230,922 and 480,312 is: 999,036.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,922 : 480,312 = 480,312 : x
  2. Step 2: Convert to fraction form
    230,922/480,312 = 480,312/x
  3. Step 3: Cross multiply
    230,922x = 480,312 × 480,312
  4. Step 4: Simplify right side
    230,922x = 230,699,617,344
  5. Step 5: Solve for x
    x = 230,699,617,344/230,922
  6. Step 6: Final answer
    x = 999,036.98

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.