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Finding the Third Proportional to 535,551 and 773,842.50

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Solution

The third proportional to 535,551 and 773,842.50 is: 1,118,160.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,551 : 773,842.50 = 773,842.50 : x
  2. Step 2: Convert to fraction form
    535,551/773,842.50 = 773,842.50/x
  3. Step 3: Cross multiply
    535,551x = 773,842.50 × 773,842.50
  4. Step 4: Simplify right side
    535,551x = 598,832,214,806.25
  5. Step 5: Solve for x
    x = 598,832,214,806.25/535,551
  6. Step 6: Final answer
    x = 1,118,160.95

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.