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Finding the Third Proportional to 281,029.50 and 428,530.50

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Solution

The third proportional to 281,029.50 and 428,530.50 is: 653,448.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,029.50 : 428,530.50 = 428,530.50 : x
  2. Step 2: Convert to fraction form
    281,029.50/428,530.50 = 428,530.50/x
  3. Step 3: Cross multiply
    281,029.50x = 428,530.50 × 428,530.50
  4. Step 4: Simplify right side
    281,029.50x = 183,638,389,430.25
  5. Step 5: Solve for x
    x = 183,638,389,430.25/281,029.50
  6. Step 6: Final answer
    x = 653,448.80

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.