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Finding the Third Proportional to 375,387.75 and 809,829

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Solution

The third proportional to 375,387.75 and 809,829 is: 1,747,054.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,387.75 : 809,829 = 809,829 : x
  2. Step 2: Convert to fraction form
    375,387.75/809,829 = 809,829/x
  3. Step 3: Cross multiply
    375,387.75x = 809,829 × 809,829
  4. Step 4: Simplify right side
    375,387.75x = 655,823,009,241
  5. Step 5: Solve for x
    x = 655,823,009,241/375,387.75
  6. Step 6: Final answer
    x = 1,747,054.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.