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Finding the Third Proportional to 526.50 and 1,346.25

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Solution

The third proportional to 526.50 and 1,346.25 is: 3,442.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.50 : 1,346.25 = 1,346.25 : x
  2. Step 2: Convert to fraction form
    526.50/1,346.25 = 1,346.25/x
  3. Step 3: Cross multiply
    526.50x = 1,346.25 × 1,346.25
  4. Step 4: Simplify right side
    526.50x = 1,812,389.06
  5. Step 5: Solve for x
    x = 1,812,389.06/526.50
  6. Step 6: Final answer
    x = 3,442.33

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Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.