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Finding the Third Proportional to 296,797.50 and 660,042

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Solution

The third proportional to 296,797.50 and 660,042 is: 1,467,854.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,797.50 : 660,042 = 660,042 : x
  2. Step 2: Convert to fraction form
    296,797.50/660,042 = 660,042/x
  3. Step 3: Cross multiply
    296,797.50x = 660,042 × 660,042
  4. Step 4: Simplify right side
    296,797.50x = 435,655,441,764
  5. Step 5: Solve for x
    x = 435,655,441,764/296,797.50
  6. Step 6: Final answer
    x = 1,467,854.15

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.