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Finding the Third Proportional to 642,483 and 844,339.50

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Solution

The third proportional to 642,483 and 844,339.50 is: 1,109,615.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,483 : 844,339.50 = 844,339.50 : x
  2. Step 2: Convert to fraction form
    642,483/844,339.50 = 844,339.50/x
  3. Step 3: Cross multiply
    642,483x = 844,339.50 × 844,339.50
  4. Step 4: Simplify right side
    642,483x = 712,909,191,260.25
  5. Step 5: Solve for x
    x = 712,909,191,260.25/642,483
  6. Step 6: Final answer
    x = 1,109,615.65

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.