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Finding the Third Proportional to 403,717.50 and 626,886

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Solution

The third proportional to 403,717.50 and 626,886 is: 973,418.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,717.50 : 626,886 = 626,886 : x
  2. Step 2: Convert to fraction form
    403,717.50/626,886 = 626,886/x
  3. Step 3: Cross multiply
    403,717.50x = 626,886 × 626,886
  4. Step 4: Simplify right side
    403,717.50x = 392,986,056,996
  5. Step 5: Solve for x
    x = 392,986,056,996/403,717.50
  6. Step 6: Final answer
    x = 973,418.43

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.