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Finding the Third Proportional to 471,298.50 and 670,042.13

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Solution

The third proportional to 471,298.50 and 670,042.13 is: 952,594.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,298.50 : 670,042.13 = 670,042.13 : x
  2. Step 2: Convert to fraction form
    471,298.50/670,042.13 = 670,042.13/x
  3. Step 3: Cross multiply
    471,298.50x = 670,042.13 × 670,042.13
  4. Step 4: Simplify right side
    471,298.50x = 448,956,449,274.52
  5. Step 5: Solve for x
    x = 448,956,449,274.52/471,298.50
  6. Step 6: Final answer
    x = 952,594.69

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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.