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Finding the Third Proportional to 296,336 and 699,237

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Solution

The third proportional to 296,336 and 699,237 is: 1,649,925.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,336 : 699,237 = 699,237 : x
  2. Step 2: Convert to fraction form
    296,336/699,237 = 699,237/x
  3. Step 3: Cross multiply
    296,336x = 699,237 × 699,237
  4. Step 4: Simplify right side
    296,336x = 488,932,382,169
  5. Step 5: Solve for x
    x = 488,932,382,169/296,336
  6. Step 6: Final answer
    x = 1,649,925.70

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.