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Finding the Third Proportional to 233,294 and 482,140

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Solution

The third proportional to 233,294 and 482,140 is: 996,420.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,294 : 482,140 = 482,140 : x
  2. Step 2: Convert to fraction form
    233,294/482,140 = 482,140/x
  3. Step 3: Cross multiply
    233,294x = 482,140 × 482,140
  4. Step 4: Simplify right side
    233,294x = 232,458,979,600
  5. Step 5: Solve for x
    x = 232,458,979,600/233,294
  6. Step 6: Final answer
    x = 996,420.74

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.