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Finding the Third Proportional to 209,730 and 449,119.50

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Solution

The third proportional to 209,730 and 449,119.50 is: 961,752.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,730 : 449,119.50 = 449,119.50 : x
  2. Step 2: Convert to fraction form
    209,730/449,119.50 = 449,119.50/x
  3. Step 3: Cross multiply
    209,730x = 449,119.50 × 449,119.50
  4. Step 4: Simplify right side
    209,730x = 201,708,325,280.25
  5. Step 5: Solve for x
    x = 201,708,325,280.25/209,730
  6. Step 6: Final answer
    x = 961,752.37

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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.