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Finding the Third Proportional to 482,901.75 and 655,843.50

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Solution

The third proportional to 482,901.75 and 655,843.50 is: 890,720.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,901.75 : 655,843.50 = 655,843.50 : x
  2. Step 2: Convert to fraction form
    482,901.75/655,843.50 = 655,843.50/x
  3. Step 3: Cross multiply
    482,901.75x = 655,843.50 × 655,843.50
  4. Step 4: Simplify right side
    482,901.75x = 430,130,696,492.25
  5. Step 5: Solve for x
    x = 430,130,696,492.25/482,901.75
  6. Step 6: Final answer
    x = 890,720.93

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.