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Finding the Third Proportional to 209,709.75 and 456,283.50

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Solution

The third proportional to 209,709.75 and 456,283.50 is: 992,775.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,709.75 : 456,283.50 = 456,283.50 : x
  2. Step 2: Convert to fraction form
    209,709.75/456,283.50 = 456,283.50/x
  3. Step 3: Cross multiply
    209,709.75x = 456,283.50 × 456,283.50
  4. Step 4: Simplify right side
    209,709.75x = 208,194,632,372.25
  5. Step 5: Solve for x
    x = 208,194,632,372.25/209,709.75
  6. Step 6: Final answer
    x = 992,775.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.