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Finding the Third Proportional to 209,130 and 448,600

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Solution

The third proportional to 209,130 and 448,600 is: 962,281.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,130 : 448,600 = 448,600 : x
  2. Step 2: Convert to fraction form
    209,130/448,600 = 448,600/x
  3. Step 3: Cross multiply
    209,130x = 448,600 × 448,600
  4. Step 4: Simplify right side
    209,130x = 201,241,960,000
  5. Step 5: Solve for x
    x = 201,241,960,000/209,130
  6. Step 6: Final answer
    x = 962,281.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.