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Finding the Third Proportional to 345,078.75 and 706,890

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Solution

The third proportional to 345,078.75 and 706,890 is: 1,448,056.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,078.75 : 706,890 = 706,890 : x
  2. Step 2: Convert to fraction form
    345,078.75/706,890 = 706,890/x
  3. Step 3: Cross multiply
    345,078.75x = 706,890 × 706,890
  4. Step 4: Simplify right side
    345,078.75x = 499,693,472,100
  5. Step 5: Solve for x
    x = 499,693,472,100/345,078.75
  6. Step 6: Final answer
    x = 1,448,056.34

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.