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Finding the Third Proportional to 449,181.50 and 657,051.50

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Solution

The third proportional to 449,181.50 and 657,051.50 is: 961,118.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,181.50 : 657,051.50 = 657,051.50 : x
  2. Step 2: Convert to fraction form
    449,181.50/657,051.50 = 657,051.50/x
  3. Step 3: Cross multiply
    449,181.50x = 657,051.50 × 657,051.50
  4. Step 4: Simplify right side
    449,181.50x = 431,716,673,652.25
  5. Step 5: Solve for x
    x = 431,716,673,652.25/449,181.50
  6. Step 6: Final answer
    x = 961,118.55

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.