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Finding the Third Proportional to 291,098 and 462,891

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Solution

The third proportional to 291,098 and 462,891 is: 736,068.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,098 : 462,891 = 462,891 : x
  2. Step 2: Convert to fraction form
    291,098/462,891 = 462,891/x
  3. Step 3: Cross multiply
    291,098x = 462,891 × 462,891
  4. Step 4: Simplify right side
    291,098x = 214,268,077,881
  5. Step 5: Solve for x
    x = 214,268,077,881/291,098
  6. Step 6: Final answer
    x = 736,068.53

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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.