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Finding the Third Proportional to 296,706 and 637,650

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Solution

The third proportional to 296,706 and 637,650 is: 1,370,371.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,706 : 637,650 = 637,650 : x
  2. Step 2: Convert to fraction form
    296,706/637,650 = 637,650/x
  3. Step 3: Cross multiply
    296,706x = 637,650 × 637,650
  4. Step 4: Simplify right side
    296,706x = 406,597,522,500
  5. Step 5: Solve for x
    x = 406,597,522,500/296,706
  6. Step 6: Final answer
    x = 1,370,371.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.