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Finding the Third Proportional to 524.63 and 830.06

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Solution

The third proportional to 524.63 and 830.06 is: 1,313.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.63 : 830.06 = 830.06 : x
  2. Step 2: Convert to fraction form
    524.63/830.06 = 830.06/x
  3. Step 3: Cross multiply
    524.63x = 830.06 × 830.06
  4. Step 4: Simplify right side
    524.63x = 689,003.75
  5. Step 5: Solve for x
    x = 689,003.75/524.63
  6. Step 6: Final answer
    x = 1,313.33

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.