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Finding the Third Proportional to 291,102 and 462,898

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Solution

The third proportional to 291,102 and 462,898 is: 736,080.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,102 : 462,898 = 462,898 : x
  2. Step 2: Convert to fraction form
    291,102/462,898 = 462,898/x
  3. Step 3: Cross multiply
    291,102x = 462,898 × 462,898
  4. Step 4: Simplify right side
    291,102x = 214,274,558,404
  5. Step 5: Solve for x
    x = 214,274,558,404/291,102
  6. Step 6: Final answer
    x = 736,080.68

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.