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Finding the Third Proportional to 296,610 and 699,878

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Solution

The third proportional to 296,610 and 699,878 is: 1,651,425.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,610 : 699,878 = 699,878 : x
  2. Step 2: Convert to fraction form
    296,610/699,878 = 699,878/x
  3. Step 3: Cross multiply
    296,610x = 699,878 × 699,878
  4. Step 4: Simplify right side
    296,610x = 489,829,214,884
  5. Step 5: Solve for x
    x = 489,829,214,884/296,610
  6. Step 6: Final answer
    x = 1,651,425.15

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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.