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Finding the Third Proportional to 209,045 and 447,604

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Solution

The third proportional to 209,045 and 447,604 is: 958,402.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,045 : 447,604 = 447,604 : x
  2. Step 2: Convert to fraction form
    209,045/447,604 = 447,604/x
  3. Step 3: Cross multiply
    209,045x = 447,604 × 447,604
  4. Step 4: Simplify right side
    209,045x = 200,349,340,816
  5. Step 5: Solve for x
    x = 200,349,340,816/209,045
  6. Step 6: Final answer
    x = 958,402.93

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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.