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Finding the Third Proportional to 370,750.50 and 809,460

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Solution

The third proportional to 370,750.50 and 809,460 is: 1,767,294.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,750.50 : 809,460 = 809,460 : x
  2. Step 2: Convert to fraction form
    370,750.50/809,460 = 809,460/x
  3. Step 3: Cross multiply
    370,750.50x = 809,460 × 809,460
  4. Step 4: Simplify right side
    370,750.50x = 655,225,491,600
  5. Step 5: Solve for x
    x = 655,225,491,600/370,750.50
  6. Step 6: Final answer
    x = 1,767,294.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.