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Finding the Third Proportional to 425,739 and 640,386

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Solution

The third proportional to 425,739 and 640,386 is: 963,252.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,739 : 640,386 = 640,386 : x
  2. Step 2: Convert to fraction form
    425,739/640,386 = 640,386/x
  3. Step 3: Cross multiply
    425,739x = 640,386 × 640,386
  4. Step 4: Simplify right side
    425,739x = 410,094,228,996
  5. Step 5: Solve for x
    x = 410,094,228,996/425,739
  6. Step 6: Final answer
    x = 963,252.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.