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Finding the Third Proportional to 705,271.50 and 991,017

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Solution

The third proportional to 705,271.50 and 991,017 is: 1,392,534.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,271.50 : 991,017 = 991,017 : x
  2. Step 2: Convert to fraction form
    705,271.50/991,017 = 991,017/x
  3. Step 3: Cross multiply
    705,271.50x = 991,017 × 991,017
  4. Step 4: Simplify right side
    705,271.50x = 982,114,694,289
  5. Step 5: Solve for x
    x = 982,114,694,289/705,271.50
  6. Step 6: Final answer
    x = 1,392,534.21

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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.