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Finding the Third Proportional to 200,430.75 and 417,446.25

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Solution

The third proportional to 200,430.75 and 417,446.25 is: 869,434.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,430.75 : 417,446.25 = 417,446.25 : x
  2. Step 2: Convert to fraction form
    200,430.75/417,446.25 = 417,446.25/x
  3. Step 3: Cross multiply
    200,430.75x = 417,446.25 × 417,446.25
  4. Step 4: Simplify right side
    200,430.75x = 174,261,371,639.06
  5. Step 5: Solve for x
    x = 174,261,371,639.06/200,430.75
  6. Step 6: Final answer
    x = 869,434.31

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.