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Finding the Third Proportional to 233,316 and 481,140

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Solution

The third proportional to 233,316 and 481,140 is: 992,198.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,316 : 481,140 = 481,140 : x
  2. Step 2: Convert to fraction form
    233,316/481,140 = 481,140/x
  3. Step 3: Cross multiply
    233,316x = 481,140 × 481,140
  4. Step 4: Simplify right side
    233,316x = 231,495,699,600
  5. Step 5: Solve for x
    x = 231,495,699,600/233,316
  6. Step 6: Final answer
    x = 992,198.13

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.