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Finding the Third Proportional to 425,718 and 640,370.25

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Solution

The third proportional to 425,718 and 640,370.25 is: 963,252.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,718 : 640,370.25 = 640,370.25 : x
  2. Step 2: Convert to fraction form
    425,718/640,370.25 = 640,370.25/x
  3. Step 3: Cross multiply
    425,718x = 640,370.25 × 640,370.25
  4. Step 4: Simplify right side
    425,718x = 410,074,057,085.06
  5. Step 5: Solve for x
    x = 410,074,057,085.06/425,718
  6. Step 6: Final answer
    x = 963,252.80

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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.