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Finding the Third Proportional to 296,337.75 and 640,060.50

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Solution

The third proportional to 296,337.75 and 640,060.50 is: 1,382,467.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,337.75 : 640,060.50 = 640,060.50 : x
  2. Step 2: Convert to fraction form
    296,337.75/640,060.50 = 640,060.50/x
  3. Step 3: Cross multiply
    296,337.75x = 640,060.50 × 640,060.50
  4. Step 4: Simplify right side
    296,337.75x = 409,677,443,660.25
  5. Step 5: Solve for x
    x = 409,677,443,660.25/296,337.75
  6. Step 6: Final answer
    x = 1,382,467.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.