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Finding the Third Proportional to 209,898 and 452,964

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Solution

The third proportional to 209,898 and 452,964 is: 977,505.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,898 : 452,964 = 452,964 : x
  2. Step 2: Convert to fraction form
    209,898/452,964 = 452,964/x
  3. Step 3: Cross multiply
    209,898x = 452,964 × 452,964
  4. Step 4: Simplify right side
    209,898x = 205,176,385,296
  5. Step 5: Solve for x
    x = 205,176,385,296/209,898
  6. Step 6: Final answer
    x = 977,505.19

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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.