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Finding the Third Proportional to 710.63 and 999.75

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Solution

The third proportional to 710.63 and 999.75 is: 1,406.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.63 : 999.75 = 999.75 : x
  2. Step 2: Convert to fraction form
    710.63/999.75 = 999.75/x
  3. Step 3: Cross multiply
    710.63x = 999.75 × 999.75
  4. Step 4: Simplify right side
    710.63x = 999,500.06
  5. Step 5: Solve for x
    x = 999,500.06/710.63
  6. Step 6: Final answer
    x = 1,406.51

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.