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Finding the Third Proportional to 437.63 and 829.69

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Solution

The third proportional to 437.63 and 829.69 is: 1,572.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.63 : 829.69 = 829.69 : x
  2. Step 2: Convert to fraction form
    437.63/829.69 = 829.69/x
  3. Step 3: Cross multiply
    437.63x = 829.69 × 829.69
  4. Step 4: Simplify right side
    437.63x = 688,381.35
  5. Step 5: Solve for x
    x = 688,381.35/437.63
  6. Step 6: Final answer
    x = 1,572.99

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.