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Finding the Third Proportional to 536,535 and 752,004

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Solution

The third proportional to 536,535 and 752,004 is: 1,054,003.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,535 : 752,004 = 752,004 : x
  2. Step 2: Convert to fraction form
    536,535/752,004 = 752,004/x
  3. Step 3: Cross multiply
    536,535x = 752,004 × 752,004
  4. Step 4: Simplify right side
    536,535x = 565,510,016,016
  5. Step 5: Solve for x
    x = 565,510,016,016/536,535
  6. Step 6: Final answer
    x = 1,054,003.96

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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.