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Finding the Third Proportional to 411,553 and 867,939.50

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Solution

The third proportional to 411,553 and 867,939.50 is: 1,830,430.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,553 : 867,939.50 = 867,939.50 : x
  2. Step 2: Convert to fraction form
    411,553/867,939.50 = 867,939.50/x
  3. Step 3: Cross multiply
    411,553x = 867,939.50 × 867,939.50
  4. Step 4: Simplify right side
    411,553x = 753,318,975,660.25
  5. Step 5: Solve for x
    x = 753,318,975,660.25/411,553
  6. Step 6: Final answer
    x = 1,830,430.04

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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.