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Finding the Third Proportional to 535,725 and 809,061.75

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Solution

The third proportional to 535,725 and 809,061.75 is: 1,221,859.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,725 : 809,061.75 = 809,061.75 : x
  2. Step 2: Convert to fraction form
    535,725/809,061.75 = 809,061.75/x
  3. Step 3: Cross multiply
    535,725x = 809,061.75 × 809,061.75
  4. Step 4: Simplify right side
    535,725x = 654,580,915,313.06
  5. Step 5: Solve for x
    x = 654,580,915,313.06/535,725
  6. Step 6: Final answer
    x = 1,221,859.94

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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.