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Finding the Third Proportional to 208,538.50 and 446,597

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Solution

The third proportional to 208,538.50 and 446,597 is: 956,412.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,538.50 : 446,597 = 446,597 : x
  2. Step 2: Convert to fraction form
    208,538.50/446,597 = 446,597/x
  3. Step 3: Cross multiply
    208,538.50x = 446,597 × 446,597
  4. Step 4: Simplify right side
    208,538.50x = 199,448,880,409
  5. Step 5: Solve for x
    x = 199,448,880,409/208,538.50
  6. Step 6: Final answer
    x = 956,412.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.