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Finding the Third Proportional to 291,835 and 450,699

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Solution

The third proportional to 291,835 and 450,699 is: 696,042.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,835 : 450,699 = 450,699 : x
  2. Step 2: Convert to fraction form
    291,835/450,699 = 450,699/x
  3. Step 3: Cross multiply
    291,835x = 450,699 × 450,699
  4. Step 4: Simplify right side
    291,835x = 203,129,588,601
  5. Step 5: Solve for x
    x = 203,129,588,601/291,835
  6. Step 6: Final answer
    x = 696,042.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.