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Finding the Third Proportional to 473.07 and 651.40

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Solution

The third proportional to 473.07 and 651.40 is: 896.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.07 : 651.40 = 651.40 : x
  2. Step 2: Convert to fraction form
    473.07/651.40 = 651.40/x
  3. Step 3: Cross multiply
    473.07x = 651.40 × 651.40
  4. Step 4: Simplify right side
    473.07x = 424,323.74
  5. Step 5: Solve for x
    x = 424,323.74/473.07
  6. Step 6: Final answer
    x = 896.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.