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Finding the Third Proportional to 437,686.50 and 952,059.75

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Solution

The third proportional to 437,686.50 and 952,059.75 is: 2,070,929.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,686.50 : 952,059.75 = 952,059.75 : x
  2. Step 2: Convert to fraction form
    437,686.50/952,059.75 = 952,059.75/x
  3. Step 3: Cross multiply
    437,686.50x = 952,059.75 × 952,059.75
  4. Step 4: Simplify right side
    437,686.50x = 906,417,767,570.06
  5. Step 5: Solve for x
    x = 906,417,767,570.06/437,686.50
  6. Step 6: Final answer
    x = 2,070,929.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.