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Finding the Third Proportional to 420,888 and 631,819.50

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Solution

The third proportional to 420,888 and 631,819.50 is: 948,461.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,888 : 631,819.50 = 631,819.50 : x
  2. Step 2: Convert to fraction form
    420,888/631,819.50 = 631,819.50/x
  3. Step 3: Cross multiply
    420,888x = 631,819.50 × 631,819.50
  4. Step 4: Simplify right side
    420,888x = 399,195,880,580.25
  5. Step 5: Solve for x
    x = 399,195,880,580.25/420,888
  6. Step 6: Final answer
    x = 948,461.06

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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.