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Finding the Third Proportional to 535,734 and 809,075.25

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Solution

The third proportional to 535,734 and 809,075.25 is: 1,221,880.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,734 : 809,075.25 = 809,075.25 : x
  2. Step 2: Convert to fraction form
    535,734/809,075.25 = 809,075.25/x
  3. Step 3: Cross multiply
    535,734x = 809,075.25 × 809,075.25
  4. Step 4: Simplify right side
    535,734x = 654,602,760,162.56
  5. Step 5: Solve for x
    x = 654,602,760,162.56/535,734
  6. Step 6: Final answer
    x = 1,221,880.19

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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.