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Finding the Third Proportional to 660,103.50 and 991,614

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Solution

The third proportional to 660,103.50 and 991,614 is: 1,489,612.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,103.50 : 991,614 = 991,614 : x
  2. Step 2: Convert to fraction form
    660,103.50/991,614 = 991,614/x
  3. Step 3: Cross multiply
    660,103.50x = 991,614 × 991,614
  4. Step 4: Simplify right side
    660,103.50x = 983,298,324,996
  5. Step 5: Solve for x
    x = 983,298,324,996/660,103.50
  6. Step 6: Final answer
    x = 1,489,612.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.