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Finding the Third Proportional to 209,556 and 452,592

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Solution

The third proportional to 209,556 and 452,592 is: 977,492.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,556 : 452,592 = 452,592 : x
  2. Step 2: Convert to fraction form
    209,556/452,592 = 452,592/x
  3. Step 3: Cross multiply
    209,556x = 452,592 × 452,592
  4. Step 4: Simplify right side
    209,556x = 204,839,518,464
  5. Step 5: Solve for x
    x = 204,839,518,464/209,556
  6. Step 6: Final answer
    x = 977,492.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.