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Finding the Third Proportional to 535,734 and 809,077.50

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Solution

The third proportional to 535,734 and 809,077.50 is: 1,221,886.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,734 : 809,077.50 = 809,077.50 : x
  2. Step 2: Convert to fraction form
    535,734/809,077.50 = 809,077.50/x
  3. Step 3: Cross multiply
    535,734x = 809,077.50 × 809,077.50
  4. Step 4: Simplify right side
    535,734x = 654,606,401,006.25
  5. Step 5: Solve for x
    x = 654,606,401,006.25/535,734
  6. Step 6: Final answer
    x = 1,221,886.98

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.