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Finding the Third Proportional to 423,648 and 622,500

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Solution

The third proportional to 423,648 and 622,500 is: 914,689.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,648 : 622,500 = 622,500 : x
  2. Step 2: Convert to fraction form
    423,648/622,500 = 622,500/x
  3. Step 3: Cross multiply
    423,648x = 622,500 × 622,500
  4. Step 4: Simplify right side
    423,648x = 387,506,250,000
  5. Step 5: Solve for x
    x = 387,506,250,000/423,648
  6. Step 6: Final answer
    x = 914,689.20

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.