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Finding the Third Proportional to 627,693 and 805,945.50

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Solution

The third proportional to 627,693 and 805,945.50 is: 1,034,818.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,693 : 805,945.50 = 805,945.50 : x
  2. Step 2: Convert to fraction form
    627,693/805,945.50 = 805,945.50/x
  3. Step 3: Cross multiply
    627,693x = 805,945.50 × 805,945.50
  4. Step 4: Simplify right side
    627,693x = 649,548,148,970.25
  5. Step 5: Solve for x
    x = 649,548,148,970.25/627,693
  6. Step 6: Final answer
    x = 1,034,818.21

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.