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Finding the Third Proportional to 211,050 and 449,779.50

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Solution

The third proportional to 211,050 and 449,779.50 is: 958,548.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,050 : 449,779.50 = 449,779.50 : x
  2. Step 2: Convert to fraction form
    211,050/449,779.50 = 449,779.50/x
  3. Step 3: Cross multiply
    211,050x = 449,779.50 × 449,779.50
  4. Step 4: Simplify right side
    211,050x = 202,301,598,620.25
  5. Step 5: Solve for x
    x = 202,301,598,620.25/211,050
  6. Step 6: Final answer
    x = 958,548.20

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.