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Finding the Third Proportional to 200,606.50 and 432,810.50

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Solution

The third proportional to 200,606.50 and 432,810.50 is: 933,792.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,606.50 : 432,810.50 = 432,810.50 : x
  2. Step 2: Convert to fraction form
    200,606.50/432,810.50 = 432,810.50/x
  3. Step 3: Cross multiply
    200,606.50x = 432,810.50 × 432,810.50
  4. Step 4: Simplify right side
    200,606.50x = 187,324,928,910.25
  5. Step 5: Solve for x
    x = 187,324,928,910.25/200,606.50
  6. Step 6: Final answer
    x = 933,792.92

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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.