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Finding the Third Proportional to 535,653 and 1,115,689.50

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Solution

The third proportional to 535,653 and 1,115,689.50 is: 2,323,823.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,653 : 1,115,689.50 = 1,115,689.50 : x
  2. Step 2: Convert to fraction form
    535,653/1,115,689.50 = 1,115,689.50/x
  3. Step 3: Cross multiply
    535,653x = 1,115,689.50 × 1,115,689.50
  4. Step 4: Simplify right side
    535,653x = 1,244,763,060,410.25
  5. Step 5: Solve for x
    x = 1,244,763,060,410.25/535,653
  6. Step 6: Final answer
    x = 2,323,823.56

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.