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Finding the Third Proportional to 705,271.50 and 991,008

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Solution

The third proportional to 705,271.50 and 991,008 is: 1,392,508.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,271.50 : 991,008 = 991,008 : x
  2. Step 2: Convert to fraction form
    705,271.50/991,008 = 991,008/x
  3. Step 3: Cross multiply
    705,271.50x = 991,008 × 991,008
  4. Step 4: Simplify right side
    705,271.50x = 982,096,856,064
  5. Step 5: Solve for x
    x = 982,096,856,064/705,271.50
  6. Step 6: Final answer
    x = 1,392,508.92

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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.