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Finding the Third Proportional to 209,433 and 452,472

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Solution

The third proportional to 209,433 and 452,472 is: 977,548.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,433 : 452,472 = 452,472 : x
  2. Step 2: Convert to fraction form
    209,433/452,472 = 452,472/x
  3. Step 3: Cross multiply
    209,433x = 452,472 × 452,472
  4. Step 4: Simplify right side
    209,433x = 204,730,910,784
  5. Step 5: Solve for x
    x = 204,730,910,784/209,433
  6. Step 6: Final answer
    x = 977,548.48

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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.