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Finding the Third Proportional to 449,266.50 and 977,249.81

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Solution

The third proportional to 449,266.50 and 977,249.81 is: 2,125,725.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,266.50 : 977,249.81 = 977,249.81 : x
  2. Step 2: Convert to fraction form
    449,266.50/977,249.81 = 977,249.81/x
  3. Step 3: Cross multiply
    449,266.50x = 977,249.81 × 977,249.81
  4. Step 4: Simplify right side
    449,266.50x = 955,017,196,031.29
  5. Step 5: Solve for x
    x = 955,017,196,031.29/449,266.50
  6. Step 6: Final answer
    x = 2,125,725.37

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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.