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Finding the Third Proportional to 281,734.50 and 626,461

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Solution

The third proportional to 281,734.50 and 626,461 is: 1,392,990.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,734.50 : 626,461 = 626,461 : x
  2. Step 2: Convert to fraction form
    281,734.50/626,461 = 626,461/x
  3. Step 3: Cross multiply
    281,734.50x = 626,461 × 626,461
  4. Step 4: Simplify right side
    281,734.50x = 392,453,384,521
  5. Step 5: Solve for x
    x = 392,453,384,521/281,734.50
  6. Step 6: Final answer
    x = 1,392,990.15

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.