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Finding the Third Proportional to 207,551.50 and 432,804.50

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Solution

The third proportional to 207,551.50 and 432,804.50 is: 902,521.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,551.50 : 432,804.50 = 432,804.50 : x
  2. Step 2: Convert to fraction form
    207,551.50/432,804.50 = 432,804.50/x
  3. Step 3: Cross multiply
    207,551.50x = 432,804.50 × 432,804.50
  4. Step 4: Simplify right side
    207,551.50x = 187,319,735,220.25
  5. Step 5: Solve for x
    x = 187,319,735,220.25/207,551.50
  6. Step 6: Final answer
    x = 902,521.71

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.