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Finding the Third Proportional to 588,775.50 and 933,829

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Solution

The third proportional to 588,775.50 and 933,829 is: 1,481,102.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,775.50 : 933,829 = 933,829 : x
  2. Step 2: Convert to fraction form
    588,775.50/933,829 = 933,829/x
  3. Step 3: Cross multiply
    588,775.50x = 933,829 × 933,829
  4. Step 4: Simplify right side
    588,775.50x = 872,036,601,241
  5. Step 5: Solve for x
    x = 872,036,601,241/588,775.50
  6. Step 6: Final answer
    x = 1,481,102.05

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.