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Finding the Third Proportional to 303,667.50 and 432,580.50

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Solution

The third proportional to 303,667.50 and 432,580.50 is: 616,219.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,667.50 : 432,580.50 = 432,580.50 : x
  2. Step 2: Convert to fraction form
    303,667.50/432,580.50 = 432,580.50/x
  3. Step 3: Cross multiply
    303,667.50x = 432,580.50 × 432,580.50
  4. Step 4: Simplify right side
    303,667.50x = 187,125,888,980.25
  5. Step 5: Solve for x
    x = 187,125,888,980.25/303,667.50
  6. Step 6: Final answer
    x = 616,219.68

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.