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Finding the Third Proportional to 209,640 and 452,476.50

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Solution

The third proportional to 209,640 and 452,476.50 is: 976,602.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,640 : 452,476.50 = 452,476.50 : x
  2. Step 2: Convert to fraction form
    209,640/452,476.50 = 452,476.50/x
  3. Step 3: Cross multiply
    209,640x = 452,476.50 × 452,476.50
  4. Step 4: Simplify right side
    209,640x = 204,734,983,052.25
  5. Step 5: Solve for x
    x = 204,734,983,052.25/209,640
  6. Step 6: Final answer
    x = 976,602.67

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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.