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Finding the Third Proportional to 207,292.50 and 449,573.63

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Solution

The third proportional to 207,292.50 and 449,573.63 is: 975,030.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,292.50 : 449,573.63 = 449,573.63 : x
  2. Step 2: Convert to fraction form
    207,292.50/449,573.63 = 449,573.63/x
  3. Step 3: Cross multiply
    207,292.50x = 449,573.63 × 449,573.63
  4. Step 4: Simplify right side
    207,292.50x = 202,116,444,295.64
  5. Step 5: Solve for x
    x = 202,116,444,295.64/207,292.50
  6. Step 6: Final answer
    x = 975,030.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.