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Finding the Third Proportional to 423,819 and 640,048.50

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Solution

The third proportional to 423,819 and 640,048.50 is: 966,596.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,819 : 640,048.50 = 640,048.50 : x
  2. Step 2: Convert to fraction form
    423,819/640,048.50 = 640,048.50/x
  3. Step 3: Cross multiply
    423,819x = 640,048.50 × 640,048.50
  4. Step 4: Simplify right side
    423,819x = 409,662,082,352.25
  5. Step 5: Solve for x
    x = 409,662,082,352.25/423,819
  6. Step 6: Final answer
    x = 966,596.78

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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.