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Finding the Third Proportional to 209,532 and 452,536

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Solution

The third proportional to 209,532 and 452,536 is: 977,363.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,532 : 452,536 = 452,536 : x
  2. Step 2: Convert to fraction form
    209,532/452,536 = 452,536/x
  3. Step 3: Cross multiply
    209,532x = 452,536 × 452,536
  4. Step 4: Simplify right side
    209,532x = 204,788,831,296
  5. Step 5: Solve for x
    x = 204,788,831,296/209,532
  6. Step 6: Final answer
    x = 977,363.03

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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.