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Finding the Third Proportional to 296,871 and 700,108

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Solution

The third proportional to 296,871 and 700,108 is: 1,651,057.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,871 : 700,108 = 700,108 : x
  2. Step 2: Convert to fraction form
    296,871/700,108 = 700,108/x
  3. Step 3: Cross multiply
    296,871x = 700,108 × 700,108
  4. Step 4: Simplify right side
    296,871x = 490,151,211,664
  5. Step 5: Solve for x
    x = 490,151,211,664/296,871
  6. Step 6: Final answer
    x = 1,651,057.91

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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.