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Finding the Third Proportional to 588,996.50 and 900,619.50

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Solution

The third proportional to 588,996.50 and 900,619.50 is: 1,377,114.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,996.50 : 900,619.50 = 900,619.50 : x
  2. Step 2: Convert to fraction form
    588,996.50/900,619.50 = 900,619.50/x
  3. Step 3: Cross multiply
    588,996.50x = 900,619.50 × 900,619.50
  4. Step 4: Simplify right side
    588,996.50x = 811,115,483,780.25
  5. Step 5: Solve for x
    x = 811,115,483,780.25/588,996.50
  6. Step 6: Final answer
    x = 1,377,114.27

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.