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Finding the Third Proportional to 526.36 and 805.64

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Solution

The third proportional to 526.36 and 805.64 is: 1,233.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.36 : 805.64 = 805.64 : x
  2. Step 2: Convert to fraction form
    526.36/805.64 = 805.64/x
  3. Step 3: Cross multiply
    526.36x = 805.64 × 805.64
  4. Step 4: Simplify right side
    526.36x = 649,056.82
  5. Step 5: Solve for x
    x = 649,056.82/526.36
  6. Step 6: Final answer
    x = 1,233.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.