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Finding the Third Proportional to 296,836 and 700,024

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Solution

The third proportional to 296,836 and 700,024 is: 1,650,856.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,836 : 700,024 = 700,024 : x
  2. Step 2: Convert to fraction form
    296,836/700,024 = 700,024/x
  3. Step 3: Cross multiply
    296,836x = 700,024 × 700,024
  4. Step 4: Simplify right side
    296,836x = 490,033,600,576
  5. Step 5: Solve for x
    x = 490,033,600,576/296,836
  6. Step 6: Final answer
    x = 1,650,856.37

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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.