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Finding the Third Proportional to 209,696.50 and 448,780.50

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Solution

The third proportional to 209,696.50 and 448,780.50 is: 960,454.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,696.50 : 448,780.50 = 448,780.50 : x
  2. Step 2: Convert to fraction form
    209,696.50/448,780.50 = 448,780.50/x
  3. Step 3: Cross multiply
    209,696.50x = 448,780.50 × 448,780.50
  4. Step 4: Simplify right side
    209,696.50x = 201,403,937,180.25
  5. Step 5: Solve for x
    x = 201,403,937,180.25/209,696.50
  6. Step 6: Final answer
    x = 960,454.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.