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Finding the Third Proportional to 701,650.50 and 977,575.88

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Solution

The third proportional to 701,650.50 and 977,575.88 is: 1,362,009.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,650.50 : 977,575.88 = 977,575.88 : x
  2. Step 2: Convert to fraction form
    701,650.50/977,575.88 = 977,575.88/x
  3. Step 3: Cross multiply
    701,650.50x = 977,575.88 × 977,575.88
  4. Step 4: Simplify right side
    701,650.50x = 955,654,591,382.02
  5. Step 5: Solve for x
    x = 955,654,591,382.02/701,650.50
  6. Step 6: Final answer
    x = 1,362,009.42

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.