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Finding the Third Proportional to 449,271 and 977,269.50

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Solution

The third proportional to 449,271 and 977,269.50 is: 2,125,789.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,271 : 977,269.50 = 977,269.50 : x
  2. Step 2: Convert to fraction form
    449,271/977,269.50 = 977,269.50/x
  3. Step 3: Cross multiply
    449,271x = 977,269.50 × 977,269.50
  4. Step 4: Simplify right side
    449,271x = 955,055,675,630.25
  5. Step 5: Solve for x
    x = 955,055,675,630.25/449,271
  6. Step 6: Final answer
    x = 2,125,789.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.