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Finding the Third Proportional to 282,000 and 591,672

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Solution

The third proportional to 282,000 and 591,672 is: 1,241,403.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,000 : 591,672 = 591,672 : x
  2. Step 2: Convert to fraction form
    282,000/591,672 = 591,672/x
  3. Step 3: Cross multiply
    282,000x = 591,672 × 591,672
  4. Step 4: Simplify right side
    282,000x = 350,075,755,584
  5. Step 5: Solve for x
    x = 350,075,755,584/282,000
  6. Step 6: Final answer
    x = 1,241,403.39

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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.