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Finding the Third Proportional to 471,862.50 and 659,769

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Solution

The third proportional to 471,862.50 and 659,769 is: 922,504.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,862.50 : 659,769 = 659,769 : x
  2. Step 2: Convert to fraction form
    471,862.50/659,769 = 659,769/x
  3. Step 3: Cross multiply
    471,862.50x = 659,769 × 659,769
  4. Step 4: Simplify right side
    471,862.50x = 435,295,133,361
  5. Step 5: Solve for x
    x = 435,295,133,361/471,862.50
  6. Step 6: Final answer
    x = 922,504.19

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.