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Finding the Third Proportional to 486,005.06 and 735,702.75

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Solution

The third proportional to 486,005.06 and 735,702.75 is: 1,113,689.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,005.06 : 735,702.75 = 735,702.75 : x
  2. Step 2: Convert to fraction form
    486,005.06/735,702.75 = 735,702.75/x
  3. Step 3: Cross multiply
    486,005.06x = 735,702.75 × 735,702.75
  4. Step 4: Simplify right side
    486,005.06x = 541,258,536,357.56
  5. Step 5: Solve for x
    x = 541,258,536,357.56/486,005.06
  6. Step 6: Final answer
    x = 1,113,689.09

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.