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Finding the Third Proportional to 232,284 and 492,479

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Solution

The third proportional to 232,284 and 492,479 is: 1,044,133.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,284 : 492,479 = 492,479 : x
  2. Step 2: Convert to fraction form
    232,284/492,479 = 492,479/x
  3. Step 3: Cross multiply
    232,284x = 492,479 × 492,479
  4. Step 4: Simplify right side
    232,284x = 242,535,565,441
  5. Step 5: Solve for x
    x = 242,535,565,441/232,284
  6. Step 6: Final answer
    x = 1,044,133.76

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.