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Finding the Third Proportional to 411,552.75 and 867,938.25

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Solution

The third proportional to 411,552.75 and 867,938.25 is: 1,830,425.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,552.75 : 867,938.25 = 867,938.25 : x
  2. Step 2: Convert to fraction form
    411,552.75/867,938.25 = 867,938.25/x
  3. Step 3: Cross multiply
    411,552.75x = 867,938.25 × 867,938.25
  4. Step 4: Simplify right side
    411,552.75x = 753,316,805,813.06
  5. Step 5: Solve for x
    x = 753,316,805,813.06/411,552.75
  6. Step 6: Final answer
    x = 1,830,425.88

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.