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Finding the Third Proportional to 389,101.50 and 714,267

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Solution

The third proportional to 389,101.50 and 714,267 is: 1,311,167.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,101.50 : 714,267 = 714,267 : x
  2. Step 2: Convert to fraction form
    389,101.50/714,267 = 714,267/x
  3. Step 3: Cross multiply
    389,101.50x = 714,267 × 714,267
  4. Step 4: Simplify right side
    389,101.50x = 510,177,347,289
  5. Step 5: Solve for x
    x = 510,177,347,289/389,101.50
  6. Step 6: Final answer
    x = 1,311,167.77

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.