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Finding the Third Proportional to 521,788.50 and 830,025

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Solution

The third proportional to 521,788.50 and 830,025 is: 1,320,346.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,788.50 : 830,025 = 830,025 : x
  2. Step 2: Convert to fraction form
    521,788.50/830,025 = 830,025/x
  3. Step 3: Cross multiply
    521,788.50x = 830,025 × 830,025
  4. Step 4: Simplify right side
    521,788.50x = 688,941,500,625
  5. Step 5: Solve for x
    x = 688,941,500,625/521,788.50
  6. Step 6: Final answer
    x = 1,320,346.27

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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.