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Finding the Third Proportional to 411,945.75 and 623,727

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Solution

The third proportional to 411,945.75 and 623,727 is: 944,384.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,945.75 : 623,727 = 623,727 : x
  2. Step 2: Convert to fraction form
    411,945.75/623,727 = 623,727/x
  3. Step 3: Cross multiply
    411,945.75x = 623,727 × 623,727
  4. Step 4: Simplify right side
    411,945.75x = 389,035,370,529
  5. Step 5: Solve for x
    x = 389,035,370,529/411,945.75
  6. Step 6: Final answer
    x = 944,384.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.