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Finding the Third Proportional to 281,658 and 626,287.50

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Solution

The third proportional to 281,658 and 626,287.50 is: 1,392,596.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,658 : 626,287.50 = 626,287.50 : x
  2. Step 2: Convert to fraction form
    281,658/626,287.50 = 626,287.50/x
  3. Step 3: Cross multiply
    281,658x = 626,287.50 × 626,287.50
  4. Step 4: Simplify right side
    281,658x = 392,236,032,656.25
  5. Step 5: Solve for x
    x = 392,236,032,656.25/281,658
  6. Step 6: Final answer
    x = 1,392,596.81

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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.