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Finding the Third Proportional to 281,266.88 and 446,809.50

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Solution

The third proportional to 281,266.88 and 446,809.50 is: 709,784.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,266.88 : 446,809.50 = 446,809.50 : x
  2. Step 2: Convert to fraction form
    281,266.88/446,809.50 = 446,809.50/x
  3. Step 3: Cross multiply
    281,266.88x = 446,809.50 × 446,809.50
  4. Step 4: Simplify right side
    281,266.88x = 199,638,729,290.25
  5. Step 5: Solve for x
    x = 199,638,729,290.25/281,266.88
  6. Step 6: Final answer
    x = 709,784.01

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.