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Finding the Third Proportional to 296,959.50 and 423,110.25

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Solution

The third proportional to 296,959.50 and 423,110.25 is: 602,850.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,959.50 : 423,110.25 = 423,110.25 : x
  2. Step 2: Convert to fraction form
    296,959.50/423,110.25 = 423,110.25/x
  3. Step 3: Cross multiply
    296,959.50x = 423,110.25 × 423,110.25
  4. Step 4: Simplify right side
    296,959.50x = 179,022,283,655.06
  5. Step 5: Solve for x
    x = 179,022,283,655.06/296,959.50
  6. Step 6: Final answer
    x = 602,850.84

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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.