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Finding the Third Proportional to 207,940 and 450,440

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Solution

The third proportional to 207,940 and 450,440 is: 975,743.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,940 : 450,440 = 450,440 : x
  2. Step 2: Convert to fraction form
    207,940/450,440 = 450,440/x
  3. Step 3: Cross multiply
    207,940x = 450,440 × 450,440
  4. Step 4: Simplify right side
    207,940x = 202,896,193,600
  5. Step 5: Solve for x
    x = 202,896,193,600/207,940
  6. Step 6: Final answer
    x = 975,743.93

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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.