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Finding the Third Proportional to 296,860 and 608,264

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Solution

The third proportional to 296,860 and 608,264 is: 1,246,328.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,860 : 608,264 = 608,264 : x
  2. Step 2: Convert to fraction form
    296,860/608,264 = 608,264/x
  3. Step 3: Cross multiply
    296,860x = 608,264 × 608,264
  4. Step 4: Simplify right side
    296,860x = 369,985,093,696
  5. Step 5: Solve for x
    x = 369,985,093,696/296,860
  6. Step 6: Final answer
    x = 1,246,328.55

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.