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Finding the Third Proportional to 503.72 and 760.64

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Solution

The third proportional to 503.72 and 760.64 is: 1,148.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.72 : 760.64 = 760.64 : x
  2. Step 2: Convert to fraction form
    503.72/760.64 = 760.64/x
  3. Step 3: Cross multiply
    503.72x = 760.64 × 760.64
  4. Step 4: Simplify right side
    503.72x = 578,574.16
  5. Step 5: Solve for x
    x = 578,574.16/503.72
  6. Step 6: Final answer
    x = 1,148.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.