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Finding the Third Proportional to 535,078.50 and 733,722.50

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Solution

The third proportional to 535,078.50 and 733,722.50 is: 1,006,111.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,078.50 : 733,722.50 = 733,722.50 : x
  2. Step 2: Convert to fraction form
    535,078.50/733,722.50 = 733,722.50/x
  3. Step 3: Cross multiply
    535,078.50x = 733,722.50 × 733,722.50
  4. Step 4: Simplify right side
    535,078.50x = 538,348,707,006.25
  5. Step 5: Solve for x
    x = 538,348,707,006.25/535,078.50
  6. Step 6: Final answer
    x = 1,006,111.64

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.