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Finding the Third Proportional to 325,533 and 714,096

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Solution

The third proportional to 325,533 and 714,096 is: 1,566,455.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,533 : 714,096 = 714,096 : x
  2. Step 2: Convert to fraction form
    325,533/714,096 = 714,096/x
  3. Step 3: Cross multiply
    325,533x = 714,096 × 714,096
  4. Step 4: Simplify right side
    325,533x = 509,933,097,216
  5. Step 5: Solve for x
    x = 509,933,097,216/325,533
  6. Step 6: Final answer
    x = 1,566,455.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.