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Finding the Third Proportional to 281,938.50 and 591,554.25

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Solution

The third proportional to 281,938.50 and 591,554.25 is: 1,241,180.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,938.50 : 591,554.25 = 591,554.25 : x
  2. Step 2: Convert to fraction form
    281,938.50/591,554.25 = 591,554.25/x
  3. Step 3: Cross multiply
    281,938.50x = 591,554.25 × 591,554.25
  4. Step 4: Simplify right side
    281,938.50x = 349,936,430,693.06
  5. Step 5: Solve for x
    x = 349,936,430,693.06/281,938.50
  6. Step 6: Final answer
    x = 1,241,180.01

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.