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Finding the Third Proportional to 339,559 and 459,514.50

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Solution

The third proportional to 339,559 and 459,514.50 is: 621,846.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,559 : 459,514.50 = 459,514.50 : x
  2. Step 2: Convert to fraction form
    339,559/459,514.50 = 459,514.50/x
  3. Step 3: Cross multiply
    339,559x = 459,514.50 × 459,514.50
  4. Step 4: Simplify right side
    339,559x = 211,153,575,710.25
  5. Step 5: Solve for x
    x = 211,153,575,710.25/339,559
  6. Step 6: Final answer
    x = 621,846.50

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.