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Finding the Third Proportional to 207,117 and 446,826.38

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Solution

The third proportional to 207,117 and 446,826.38 is: 963,966.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,117 : 446,826.38 = 446,826.38 : x
  2. Step 2: Convert to fraction form
    207,117/446,826.38 = 446,826.38/x
  3. Step 3: Cross multiply
    207,117x = 446,826.38 × 446,826.38
  4. Step 4: Simplify right side
    207,117x = 199,653,809,395.64
  5. Step 5: Solve for x
    x = 199,653,809,395.64/207,117
  6. Step 6: Final answer
    x = 963,966.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.