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Finding the Third Proportional to 486,162 and 735,952.50

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Solution

The third proportional to 486,162 and 735,952.50 is: 1,114,085.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,162 : 735,952.50 = 735,952.50 : x
  2. Step 2: Convert to fraction form
    486,162/735,952.50 = 735,952.50/x
  3. Step 3: Cross multiply
    486,162x = 735,952.50 × 735,952.50
  4. Step 4: Simplify right side
    486,162x = 541,626,082,256.25
  5. Step 5: Solve for x
    x = 541,626,082,256.25/486,162
  6. Step 6: Final answer
    x = 1,114,085.60

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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.