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Finding the Third Proportional to 434.63 and 651.81

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Solution

The third proportional to 434.63 and 651.81 is: 977.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.63 : 651.81 = 651.81 : x
  2. Step 2: Convert to fraction form
    434.63/651.81 = 651.81/x
  3. Step 3: Cross multiply
    434.63x = 651.81 × 651.81
  4. Step 4: Simplify right side
    434.63x = 424,859.54
  5. Step 5: Solve for x
    x = 424,859.54/434.63
  6. Step 6: Final answer
    x = 977.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.