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Finding the Third Proportional to 536,985 and 752,581.50

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Solution

The third proportional to 536,985 and 752,581.50 is: 1,054,738.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,985 : 752,581.50 = 752,581.50 : x
  2. Step 2: Convert to fraction form
    536,985/752,581.50 = 752,581.50/x
  3. Step 3: Cross multiply
    536,985x = 752,581.50 × 752,581.50
  4. Step 4: Simplify right side
    536,985x = 566,378,914,142.25
  5. Step 5: Solve for x
    x = 566,378,914,142.25/536,985
  6. Step 6: Final answer
    x = 1,054,738.80

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.