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Finding the Third Proportional to 480,795.75 and 1,028,295

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Solution

The third proportional to 480,795.75 and 1,028,295 is: 2,199,251.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,795.75 : 1,028,295 = 1,028,295 : x
  2. Step 2: Convert to fraction form
    480,795.75/1,028,295 = 1,028,295/x
  3. Step 3: Cross multiply
    480,795.75x = 1,028,295 × 1,028,295
  4. Step 4: Simplify right side
    480,795.75x = 1,057,390,607,025
  5. Step 5: Solve for x
    x = 1,057,390,607,025/480,795.75
  6. Step 6: Final answer
    x = 2,199,251.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.