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Finding the Third Proportional to 357,289.50 and 766,383

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Solution

The third proportional to 357,289.50 and 766,383 is: 1,643,885.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,289.50 : 766,383 = 766,383 : x
  2. Step 2: Convert to fraction form
    357,289.50/766,383 = 766,383/x
  3. Step 3: Cross multiply
    357,289.50x = 766,383 × 766,383
  4. Step 4: Simplify right side
    357,289.50x = 587,342,902,689
  5. Step 5: Solve for x
    x = 587,342,902,689/357,289.50
  6. Step 6: Final answer
    x = 1,643,885.15

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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.